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Finding the Third Proportional to 72,726,549 and 156,989,739

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Solution

The third proportional to 72,726,549 and 156,989,739 is: 338,882,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726,549 : 156,989,739 = 156,989,739 : x
  2. Step 2: Convert to fraction form
    72,726,549/156,989,739 = 156,989,739/x
  3. Step 3: Cross multiply
    72,726,549x = 156,989,739 × 156,989,739
  4. Step 4: Simplify right side
    72,726,549x = 24,645,778,151,288,120
  5. Step 5: Solve for x
    x = 24,645,778,151,288,120/72,726,549
  6. Step 6: Final answer
    x = 338,882,821.89

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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.