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Finding the Third Proportional to 640,518,612 and 1,398,485,928

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Solution

The third proportional to 640,518,612 and 1,398,485,928 is: 3,053,405,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,518,612 : 1,398,485,928 = 1,398,485,928 : x
  2. Step 2: Convert to fraction form
    640,518,612/1,398,485,928 = 1,398,485,928/x
  3. Step 3: Cross multiply
    640,518,612x = 1,398,485,928 × 1,398,485,928
  4. Step 4: Simplify right side
    640,518,612x = 1,955,762,890,814,021,120
  5. Step 5: Solve for x
    x = 1,955,762,890,814,021,120/640,518,612
  6. Step 6: Final answer
    x = 3,053,405,247.21

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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.