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Finding the Third Proportional to 27.17 and 41.87

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Solution

The third proportional to 27.17 and 41.87 is: 64.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.17 : 41.87 = 41.87 : x
  2. Step 2: Convert to fraction form
    27.17/41.87 = 41.87/x
  3. Step 3: Cross multiply
    27.17x = 41.87 × 41.87
  4. Step 4: Simplify right side
    27.17x = 1,752.69
  5. Step 5: Solve for x
    x = 1,752.69/27.17
  6. Step 6: Final answer
    x = 64.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.