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Finding the Third Proportional to 31 and 56.13

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Solution

The third proportional to 31 and 56.13 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 56.13 = 56.13 : x
  2. Step 2: Convert to fraction form
    31/56.13 = 56.13/x
  3. Step 3: Cross multiply
    31x = 56.13 × 56.13
  4. Step 4: Simplify right side
    31x = 3,150.02
  5. Step 5: Solve for x
    x = 3,150.02/31
  6. Step 6: Final answer
    x = 101.61

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.