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Finding the Third Proportional to 14.46 and 31.76

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Solution

The third proportional to 14.46 and 31.76 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.46 : 31.76 = 31.76 : x
  2. Step 2: Convert to fraction form
    14.46/31.76 = 31.76/x
  3. Step 3: Cross multiply
    14.46x = 31.76 × 31.76
  4. Step 4: Simplify right side
    14.46x = 1,008.56
  5. Step 5: Solve for x
    x = 1,008.56/14.46
  6. Step 6: Final answer
    x = 69.74

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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.