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Finding the Third Proportional to 87,421.50 and 187,584.75

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Solution

The third proportional to 87,421.50 and 187,584.75 is: 402,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,421.50 : 187,584.75 = 187,584.75 : x
  2. Step 2: Convert to fraction form
    87,421.50/187,584.75 = 187,584.75/x
  3. Step 3: Cross multiply
    87,421.50x = 187,584.75 × 187,584.75
  4. Step 4: Simplify right side
    87,421.50x = 35,188,038,432.56
  5. Step 5: Solve for x
    x = 35,188,038,432.56/87,421.50
  6. Step 6: Final answer
    x = 402,510.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.