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Finding the Third Proportional to 31.69 and 73.13

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Solution

The third proportional to 31.69 and 73.13 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.69 : 73.13 = 73.13 : x
  2. Step 2: Convert to fraction form
    31.69/73.13 = 73.13/x
  3. Step 3: Cross multiply
    31.69x = 73.13 × 73.13
  4. Step 4: Simplify right side
    31.69x = 5,347.27
  5. Step 5: Solve for x
    x = 5,347.27/31.69
  6. Step 6: Final answer
    x = 168.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.