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Finding the Third Proportional to 442,011,130.50 and 736,640,820.75

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Solution

The third proportional to 442,011,130.50 and 736,640,820.75 is: 1,227,660,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011,130.50 : 736,640,820.75 = 736,640,820.75 : x
  2. Step 2: Convert to fraction form
    442,011,130.50/736,640,820.75 = 736,640,820.75/x
  3. Step 3: Cross multiply
    442,011,130.50x = 736,640,820.75 × 736,640,820.75
  4. Step 4: Simplify right side
    442,011,130.50x = 542,639,698,795,233,600
  5. Step 5: Solve for x
    x = 542,639,698,795,233,600/442,011,130.50
  6. Step 6: Final answer
    x = 1,227,660,711.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.