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Finding the Third Proportional to 31.38 and 58

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Solution

The third proportional to 31.38 and 58 is: 107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.38 : 58 = 58 : x
  2. Step 2: Convert to fraction form
    31.38/58 = 58/x
  3. Step 3: Cross multiply
    31.38x = 58 × 58
  4. Step 4: Simplify right side
    31.38x = 3,364
  5. Step 5: Solve for x
    x = 3,364/31.38
  6. Step 6: Final answer
    x = 107.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.