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Finding the Third Proportional to 15.46 and 31.73

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Solution

The third proportional to 15.46 and 31.73 is: 65.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.46 : 31.73 = 31.73 : x
  2. Step 2: Convert to fraction form
    15.46/31.73 = 31.73/x
  3. Step 3: Cross multiply
    15.46x = 31.73 × 31.73
  4. Step 4: Simplify right side
    15.46x = 1,006.64
  5. Step 5: Solve for x
    x = 1,006.64/15.46
  6. Step 6: Final answer
    x = 65.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.