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Finding the Third Proportional to 31.75 and 40.88

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Solution

The third proportional to 31.75 and 40.88 is: 52.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 40.88 = 40.88 : x
  2. Step 2: Convert to fraction form
    31.75/40.88 = 40.88/x
  3. Step 3: Cross multiply
    31.75x = 40.88 × 40.88
  4. Step 4: Simplify right side
    31.75x = 1,670.77
  5. Step 5: Solve for x
    x = 1,670.77/31.75
  6. Step 6: Final answer
    x = 52.62

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.