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Finding the Third Proportional to 187,615.13 and 280,909.69

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Solution

The third proportional to 187,615.13 and 280,909.69 is: 420,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,615.13 : 280,909.69 = 280,909.69 : x
  2. Step 2: Convert to fraction form
    187,615.13/280,909.69 = 280,909.69/x
  3. Step 3: Cross multiply
    187,615.13x = 280,909.69 × 280,909.69
  4. Step 4: Simplify right side
    187,615.13x = 78,910,252,531.35
  5. Step 5: Solve for x
    x = 78,910,252,531.35/187,615.13
  6. Step 6: Final answer
    x = 420,596.43

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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.