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Finding the Third Proportional to 31.31 and 68.16

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Solution

The third proportional to 31.31 and 68.16 is: 148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.31 : 68.16 = 68.16 : x
  2. Step 2: Convert to fraction form
    31.31/68.16 = 68.16/x
  3. Step 3: Cross multiply
    31.31x = 68.16 × 68.16
  4. Step 4: Simplify right side
    31.31x = 4,645.27
  5. Step 5: Solve for x
    x = 4,645.27/31.31
  6. Step 6: Final answer
    x = 148.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.