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Finding the Third Proportional to 187,987.50 and 271,613.25

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Solution

The third proportional to 187,987.50 and 271,613.25 is: 392,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,987.50 : 271,613.25 = 271,613.25 : x
  2. Step 2: Convert to fraction form
    187,987.50/271,613.25 = 271,613.25/x
  3. Step 3: Cross multiply
    187,987.50x = 271,613.25 × 271,613.25
  4. Step 4: Simplify right side
    187,987.50x = 73,773,757,575.56
  5. Step 5: Solve for x
    x = 73,773,757,575.56/187,987.50
  6. Step 6: Final answer
    x = 392,439.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.