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Finding the Third Proportional to 31.24 and 44.78

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Solution

The third proportional to 31.24 and 44.78 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 44.78 = 44.78 : x
  2. Step 2: Convert to fraction form
    31.24/44.78 = 44.78/x
  3. Step 3: Cross multiply
    31.24x = 44.78 × 44.78
  4. Step 4: Simplify right side
    31.24x = 2,005.62
  5. Step 5: Solve for x
    x = 2,005.62/31.24
  6. Step 6: Final answer
    x = 64.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.