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Finding the Third Proportional to 72,726,551 and 156,989,743

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Solution

The third proportional to 72,726,551 and 156,989,743 is: 338,882,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726,551 : 156,989,743 = 156,989,743 : x
  2. Step 2: Convert to fraction form
    72,726,551/156,989,743 = 156,989,743/x
  3. Step 3: Cross multiply
    72,726,551x = 156,989,743 × 156,989,743
  4. Step 4: Simplify right side
    72,726,551x = 24,645,779,407,206,048
  5. Step 5: Solve for x
    x = 24,645,779,407,206,048/72,726,551
  6. Step 6: Final answer
    x = 338,882,829.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.