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Finding the Third Proportional to 185.13 and 278.17

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Solution

The third proportional to 185.13 and 278.17 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 278.17 = 278.17 : x
  2. Step 2: Convert to fraction form
    185.13/278.17 = 278.17/x
  3. Step 3: Cross multiply
    185.13x = 278.17 × 278.17
  4. Step 4: Simplify right side
    185.13x = 77,380.68
  5. Step 5: Solve for x
    x = 77,380.68/185.13
  6. Step 6: Final answer
    x = 417.97

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Why These Related Problems?

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