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Finding the Third Proportional to 172.13 and 282.87

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Solution

The third proportional to 172.13 and 282.87 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 282.87 = 282.87 : x
  2. Step 2: Convert to fraction form
    172.13/282.87 = 282.87/x
  3. Step 3: Cross multiply
    172.13x = 282.87 × 282.87
  4. Step 4: Simplify right side
    172.13x = 80,013.85
  5. Step 5: Solve for x
    x = 80,013.85/172.13
  6. Step 6: Final answer
    x = 464.86

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.