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Finding the Third Proportional to 31.47 and 80.23

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Solution

The third proportional to 31.47 and 80.23 is: 204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.47 : 80.23 = 80.23 : x
  2. Step 2: Convert to fraction form
    31.47/80.23 = 80.23/x
  3. Step 3: Cross multiply
    31.47x = 80.23 × 80.23
  4. Step 4: Simplify right side
    31.47x = 6,437.55
  5. Step 5: Solve for x
    x = 6,437.55/31.47
  6. Step 6: Final answer
    x = 204.57

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.