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Finding the Third Proportional to 171,976.92 and 257,553.42

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Solution

The third proportional to 171,976.92 and 257,553.42 is: 385,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,976.92 : 257,553.42 = 257,553.42 : x
  2. Step 2: Convert to fraction form
    171,976.92/257,553.42 = 257,553.42/x
  3. Step 3: Cross multiply
    171,976.92x = 257,553.42 × 257,553.42
  4. Step 4: Simplify right side
    171,976.92x = 66,333,765,119.52
  5. Step 5: Solve for x
    x = 66,333,765,119.52/171,976.92
  6. Step 6: Final answer
    x = 385,713.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.