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Finding the Third Proportional to 72,726,534 and 156,989,709

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Solution

The third proportional to 72,726,534 and 156,989,709 is: 338,882,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726,534 : 156,989,709 = 156,989,709 : x
  2. Step 2: Convert to fraction form
    72,726,534/156,989,709 = 156,989,709/x
  3. Step 3: Cross multiply
    72,726,534x = 156,989,709 × 156,989,709
  4. Step 4: Simplify right side
    72,726,534x = 24,645,768,731,904,680
  5. Step 5: Solve for x
    x = 24,645,768,731,904,680/72,726,534
  6. Step 6: Final answer
    x = 338,882,762.27

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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.