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Finding the Third Proportional to 172.38 and 268.13

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Solution

The third proportional to 172.38 and 268.13 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 268.13 = 268.13 : x
  2. Step 2: Convert to fraction form
    172.38/268.13 = 268.13/x
  3. Step 3: Cross multiply
    172.38x = 268.13 × 268.13
  4. Step 4: Simplify right side
    172.38x = 71,891.02
  5. Step 5: Solve for x
    x = 71,891.02/172.38
  6. Step 6: Final answer
    x = 417.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.