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Finding the Third Proportional to 10.57 and 17.17

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Solution

The third proportional to 10.57 and 17.17 is: 27.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.57 : 17.17 = 17.17 : x
  2. Step 2: Convert to fraction form
    10.57/17.17 = 17.17/x
  3. Step 3: Cross multiply
    10.57x = 17.17 × 17.17
  4. Step 4: Simplify right side
    10.57x = 294.86
  5. Step 5: Solve for x
    x = 294.86/10.57
  6. Step 6: Final answer
    x = 27.90

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.