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Finding the Third Proportional to 87,432 and 131,584

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Solution

The third proportional to 87,432 and 131,584 is: 198,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,432 : 131,584 = 131,584 : x
  2. Step 2: Convert to fraction form
    87,432/131,584 = 131,584/x
  3. Step 3: Cross multiply
    87,432x = 131,584 × 131,584
  4. Step 4: Simplify right side
    87,432x = 17,314,349,056
  5. Step 5: Solve for x
    x = 17,314,349,056/87,432
  6. Step 6: Final answer
    x = 198,032.17

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