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Finding the Third Proportional to 31.31 and 52.13

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Solution

The third proportional to 31.31 and 52.13 is: 86.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 52.13 = 52.13 : x
  2. Step 2: Convert to fraction form
    31.31/52.13 = 52.13/x
  3. Step 3: Cross multiply
    31.31x = 52.13 × 52.13
  4. Step 4: Simplify right side
    31.31x = 2,717.02
  5. Step 5: Solve for x
    x = 2,717.02/31.31
  6. Step 6: Final answer
    x = 86.77

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.