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Finding the Third Proportional to 87.19 and 185.34

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Solution

The third proportional to 87.19 and 185.34 is: 394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.19 : 185.34 = 185.34 : x
  2. Step 2: Convert to fraction form
    87.19/185.34 = 185.34/x
  3. Step 3: Cross multiply
    87.19x = 185.34 × 185.34
  4. Step 4: Simplify right side
    87.19x = 34,352.31
  5. Step 5: Solve for x
    x = 34,352.31/87.19
  6. Step 6: Final answer
    x = 394.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.