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Finding the Third Proportional to 20,179,771 and 31,332,949

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Solution

The third proportional to 20,179,771 and 31,332,949 is: 48,650,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179,771 : 31,332,949 = 31,332,949 : x
  2. Step 2: Convert to fraction form
    20,179,771/31,332,949 = 31,332,949/x
  3. Step 3: Cross multiply
    20,179,771x = 31,332,949 × 31,332,949
  4. Step 4: Simplify right side
    20,179,771x = 981,753,693,036,601
  5. Step 5: Solve for x
    x = 981,753,693,036,601/20,179,771
  6. Step 6: Final answer
    x = 48,650,388.20

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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.