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Finding the Third Proportional to 252.38 and 391.75

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Solution

The third proportional to 252.38 and 391.75 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 391.75 = 391.75 : x
  2. Step 2: Convert to fraction form
    252.38/391.75 = 391.75/x
  3. Step 3: Cross multiply
    252.38x = 391.75 × 391.75
  4. Step 4: Simplify right side
    252.38x = 153,468.06
  5. Step 5: Solve for x
    x = 153,468.06/252.38
  6. Step 6: Final answer
    x = 608.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.