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Finding the Third Proportional to 177,998 and 391,042

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Solution

The third proportional to 177,998 and 391,042 is: 859,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,998 : 391,042 = 391,042 : x
  2. Step 2: Convert to fraction form
    177,998/391,042 = 391,042/x
  3. Step 3: Cross multiply
    177,998x = 391,042 × 391,042
  4. Step 4: Simplify right side
    177,998x = 152,913,845,764
  5. Step 5: Solve for x
    x = 152,913,845,764/177,998
  6. Step 6: Final answer
    x = 859,076.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.