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Finding the Third Proportional to 17.40 and 24.71

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Solution

The third proportional to 17.40 and 24.71 is: 35.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 24.71 = 24.71 : x
  2. Step 2: Convert to fraction form
    17.40/24.71 = 24.71/x
  3. Step 3: Cross multiply
    17.40x = 24.71 × 24.71
  4. Step 4: Simplify right side
    17.40x = 610.82
  5. Step 5: Solve for x
    x = 610.82/17.40
  6. Step 6: Final answer
    x = 35.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.