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Finding the Third Proportional to 31.42 and 47.46

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Solution

The third proportional to 31.42 and 47.46 is: 71.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.42 : 47.46 = 47.46 : x
  2. Step 2: Convert to fraction form
    31.42/47.46 = 47.46/x
  3. Step 3: Cross multiply
    31.42x = 47.46 × 47.46
  4. Step 4: Simplify right side
    31.42x = 2,252.54
  5. Step 5: Solve for x
    x = 2,252.54/31.42
  6. Step 6: Final answer
    x = 71.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.