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Finding the Third Proportional to 13.76 and 29.31

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Solution

The third proportional to 13.76 and 29.31 is: 62.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 29.31 = 29.31 : x
  2. Step 2: Convert to fraction form
    13.76/29.31 = 29.31/x
  3. Step 3: Cross multiply
    13.76x = 29.31 × 29.31
  4. Step 4: Simplify right side
    13.76x = 858.91
  5. Step 5: Solve for x
    x = 858.91/13.76
  6. Step 6: Final answer
    x = 62.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.