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Finding the Third Proportional to 1,278,429,978,256.50 and 2,781,915,189,064.40

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Solution

The third proportional to 1,278,429,978,256.50 and 2,781,915,189,064.40 is: 6,053,559,640,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,429,978,256.50 : 2,781,915,189,064.40 = 2,781,915,189,064.40 : x
  2. Step 2: Convert to fraction form
    1,278,429,978,256.50/2,781,915,189,064.40 = 2,781,915,189,064.40/x
  3. Step 3: Cross multiply
    1,278,429,978,256.50x = 2,781,915,189,064.40 × 2,781,915,189,064.40
  4. Step 4: Simplify right side
    1,278,429,978,256.50x = 7,739,052,119,147,215,784,509,440
  5. Step 5: Solve for x
    x = 7,739,052,119,147,215,784,509,440/1,278,429,978,256.50
  6. Step 6: Final answer
    x = 6,053,559,640,162.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.