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Finding the Third Proportional to 31.17 and 47.74

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Solution

The third proportional to 31.17 and 47.74 is: 73.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.17 : 47.74 = 47.74 : x
  2. Step 2: Convert to fraction form
    31.17/47.74 = 47.74/x
  3. Step 3: Cross multiply
    31.17x = 47.74 × 47.74
  4. Step 4: Simplify right side
    31.17x = 2,279.32
  5. Step 5: Solve for x
    x = 2,279.32/31.17
  6. Step 6: Final answer
    x = 73.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.