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Finding the Third Proportional to 13.70 and 29.72

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Solution

The third proportional to 13.70 and 29.72 is: 64.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.70 : 29.72 = 29.72 : x
  2. Step 2: Convert to fraction form
    13.70/29.72 = 29.72/x
  3. Step 3: Cross multiply
    13.70x = 29.72 × 29.72
  4. Step 4: Simplify right side
    13.70x = 883.42
  5. Step 5: Solve for x
    x = 883.42/13.70
  6. Step 6: Final answer
    x = 64.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.