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Finding the Third Proportional to 31.68 and 68.30

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Solution

The third proportional to 31.68 and 68.30 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.68 : 68.30 = 68.30 : x
  2. Step 2: Convert to fraction form
    31.68/68.30 = 68.30/x
  3. Step 3: Cross multiply
    31.68x = 68.30 × 68.30
  4. Step 4: Simplify right side
    31.68x = 4,665.46
  5. Step 5: Solve for x
    x = 4,665.46/31.68
  6. Step 6: Final answer
    x = 147.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.