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Finding the Third Proportional to 13.91 and 30.46

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Solution

The third proportional to 13.91 and 30.46 is: 66.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.91 : 30.46 = 30.46 : x
  2. Step 2: Convert to fraction form
    13.91/30.46 = 30.46/x
  3. Step 3: Cross multiply
    13.91x = 30.46 × 30.46
  4. Step 4: Simplify right side
    13.91x = 928.03
  5. Step 5: Solve for x
    x = 928.03/13.91
  6. Step 6: Final answer
    x = 66.70

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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.