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Finding the Third Proportional to 14.80 and 31.46

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Solution

The third proportional to 14.80 and 31.46 is: 66.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.80 : 31.46 = 31.46 : x
  2. Step 2: Convert to fraction form
    14.80/31.46 = 31.46/x
  3. Step 3: Cross multiply
    14.80x = 31.46 × 31.46
  4. Step 4: Simplify right side
    14.80x = 990.04
  5. Step 5: Solve for x
    x = 990.04/14.80
  6. Step 6: Final answer
    x = 66.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.