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Finding the Third Proportional to 81,787 and 175,397

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Solution

The third proportional to 81,787 and 175,397 is: 376,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787 : 175,397 = 175,397 : x
  2. Step 2: Convert to fraction form
    81,787/175,397 = 175,397/x
  3. Step 3: Cross multiply
    81,787x = 175,397 × 175,397
  4. Step 4: Simplify right side
    81,787x = 30,764,107,609
  5. Step 5: Solve for x
    x = 30,764,107,609/81,787
  6. Step 6: Final answer
    x = 376,149.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.