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Finding the Third Proportional to 87.40 and 185.98

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Solution

The third proportional to 87.40 and 185.98 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.40 : 185.98 = 185.98 : x
  2. Step 2: Convert to fraction form
    87.40/185.98 = 185.98/x
  3. Step 3: Cross multiply
    87.40x = 185.98 × 185.98
  4. Step 4: Simplify right side
    87.40x = 34,587.28
  5. Step 5: Solve for x
    x = 34,587.28/87.40
  6. Step 6: Final answer
    x = 395.74

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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.