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Finding the Third Proportional to 13.80 and 29.71

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Solution

The third proportional to 13.80 and 29.71 is: 63.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.80 : 29.71 = 29.71 : x
  2. Step 2: Convert to fraction form
    13.80/29.71 = 29.71/x
  3. Step 3: Cross multiply
    13.80x = 29.71 × 29.71
  4. Step 4: Simplify right side
    13.80x = 882.51
  5. Step 5: Solve for x
    x = 882.51/13.80
  6. Step 6: Final answer
    x = 63.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.