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Finding the Third Proportional to 31.75 and 45

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Solution

The third proportional to 31.75 and 45 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 45 = 45 : x
  2. Step 2: Convert to fraction form
    31.75/45 = 45/x
  3. Step 3: Cross multiply
    31.75x = 45 × 45
  4. Step 4: Simplify right side
    31.75x = 2,025
  5. Step 5: Solve for x
    x = 2,025/31.75
  6. Step 6: Final answer
    x = 63.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.