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Finding the Third Proportional to 13.58 and 29.68

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Solution

The third proportional to 13.58 and 29.68 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.58 : 29.68 = 29.68 : x
  2. Step 2: Convert to fraction form
    13.58/29.68 = 29.68/x
  3. Step 3: Cross multiply
    13.58x = 29.68 × 29.68
  4. Step 4: Simplify right side
    13.58x = 881.12
  5. Step 5: Solve for x
    x = 881.12/13.58
  6. Step 6: Final answer
    x = 64.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.