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Finding the Third Proportional to 87,420 and 187,584

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Solution

The third proportional to 87,420 and 187,584 is: 402,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,420 : 187,584 = 187,584 : x
  2. Step 2: Convert to fraction form
    87,420/187,584 = 187,584/x
  3. Step 3: Cross multiply
    87,420x = 187,584 × 187,584
  4. Step 4: Simplify right side
    87,420x = 35,187,757,056
  5. Step 5: Solve for x
    x = 35,187,757,056/87,420
  6. Step 6: Final answer
    x = 402,513.81

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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.