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Finding the Third Proportional to 187,638.75 and 280,522.13

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Solution

The third proportional to 187,638.75 and 280,522.13 is: 419,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,638.75 : 280,522.13 = 280,522.13 : x
  2. Step 2: Convert to fraction form
    187,638.75/280,522.13 = 280,522.13/x
  3. Step 3: Cross multiply
    187,638.75x = 280,522.13 × 280,522.13
  4. Step 4: Simplify right side
    187,638.75x = 78,692,662,614.52
  5. Step 5: Solve for x
    x = 78,692,662,614.52/187,638.75
  6. Step 6: Final answer
    x = 419,383.86

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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.