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Finding the Third Proportional to 31 and 55.75

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Solution

The third proportional to 31 and 55.75 is: 100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 55.75 = 55.75 : x
  2. Step 2: Convert to fraction form
    31/55.75 = 55.75/x
  3. Step 3: Cross multiply
    31x = 55.75 × 55.75
  4. Step 4: Simplify right side
    31x = 3,108.06
  5. Step 5: Solve for x
    x = 3,108.06/31
  6. Step 6: Final answer
    x = 100.26

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.