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Finding the Third Proportional to 87.31 and 184.19

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Solution

The third proportional to 87.31 and 184.19 is: 388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.31 : 184.19 = 184.19 : x
  2. Step 2: Convert to fraction form
    87.31/184.19 = 184.19/x
  3. Step 3: Cross multiply
    87.31x = 184.19 × 184.19
  4. Step 4: Simplify right side
    87.31x = 33,925.04
  5. Step 5: Solve for x
    x = 33,925.04/87.31
  6. Step 6: Final answer
    x = 388.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.