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Finding the Third Proportional to 71,676 and 155,788

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Solution

The third proportional to 71,676 and 155,788 is: 338,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676 : 155,788 = 155,788 : x
  2. Step 2: Convert to fraction form
    71,676/155,788 = 155,788/x
  3. Step 3: Cross multiply
    71,676x = 155,788 × 155,788
  4. Step 4: Simplify right side
    71,676x = 24,269,900,944
  5. Step 5: Solve for x
    x = 24,269,900,944/71,676
  6. Step 6: Final answer
    x = 338,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.