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Finding the Third Proportional to 13.58 and 29.87

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Solution

The third proportional to 13.58 and 29.87 is: 65.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.58 : 29.87 = 29.87 : x
  2. Step 2: Convert to fraction form
    13.58/29.87 = 29.87/x
  3. Step 3: Cross multiply
    13.58x = 29.87 × 29.87
  4. Step 4: Simplify right side
    13.58x = 892.39
  5. Step 5: Solve for x
    x = 892.39/13.58
  6. Step 6: Final answer
    x = 65.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.