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Finding the Third Proportional to 80,773,920 and 125,309,388

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Solution

The third proportional to 80,773,920 and 125,309,388 is: 194,399,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,773,920 : 125,309,388 = 125,309,388 : x
  2. Step 2: Convert to fraction form
    80,773,920/125,309,388 = 125,309,388/x
  3. Step 3: Cross multiply
    80,773,920x = 125,309,388 × 125,309,388
  4. Step 4: Simplify right side
    80,773,920x = 15,702,442,720,934,544
  5. Step 5: Solve for x
    x = 15,702,442,720,934,544/80,773,920
  6. Step 6: Final answer
    x = 194,399,909.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.