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Finding the Third Proportional to 172.13 and 253.97

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Solution

The third proportional to 172.13 and 253.97 is: 374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 253.97 = 253.97 : x
  2. Step 2: Convert to fraction form
    172.13/253.97 = 253.97/x
  3. Step 3: Cross multiply
    172.13x = 253.97 × 253.97
  4. Step 4: Simplify right side
    172.13x = 64,500.13
  5. Step 5: Solve for x
    x = 64,500.13/172.13
  6. Step 6: Final answer
    x = 374.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.