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Finding the Third Proportional to 85,909 and 177,711

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Solution

The third proportional to 85,909 and 177,711 is: 367,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,909 : 177,711 = 177,711 : x
  2. Step 2: Convert to fraction form
    85,909/177,711 = 177,711/x
  3. Step 3: Cross multiply
    85,909x = 177,711 × 177,711
  4. Step 4: Simplify right side
    85,909x = 31,581,199,521
  5. Step 5: Solve for x
    x = 31,581,199,521/85,909
  6. Step 6: Final answer
    x = 367,612.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.