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Finding the Third Proportional to 13.71 and 18.40

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Solution

The third proportional to 13.71 and 18.40 is: 24.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 18.40 = 18.40 : x
  2. Step 2: Convert to fraction form
    13.71/18.40 = 18.40/x
  3. Step 3: Cross multiply
    13.71x = 18.40 × 18.40
  4. Step 4: Simplify right side
    13.71x = 338.61
  5. Step 5: Solve for x
    x = 338.61/13.71
  6. Step 6: Final answer
    x = 24.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.