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Finding the Third Proportional to 83,918 and 171,724

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Solution

The third proportional to 83,918 and 171,724 is: 351,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,918 : 171,724 = 171,724 : x
  2. Step 2: Convert to fraction form
    83,918/171,724 = 171,724/x
  3. Step 3: Cross multiply
    83,918x = 171,724 × 171,724
  4. Step 4: Simplify right side
    83,918x = 29,489,132,176
  5. Step 5: Solve for x
    x = 29,489,132,176/83,918
  6. Step 6: Final answer
    x = 351,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.