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Finding the Third Proportional to 81,398,682 and 177,432,849

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Solution

The third proportional to 81,398,682 and 177,432,849 is: 386,768,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398,682 : 177,432,849 = 177,432,849 : x
  2. Step 2: Convert to fraction form
    81,398,682/177,432,849 = 177,432,849/x
  3. Step 3: Cross multiply
    81,398,682x = 177,432,849 × 177,432,849
  4. Step 4: Simplify right side
    81,398,682x = 31,482,415,904,256,800
  5. Step 5: Solve for x
    x = 31,482,415,904,256,800/81,398,682
  6. Step 6: Final answer
    x = 386,768,128.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.