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Finding the Third Proportional to 238.13 and 317.53

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Solution

The third proportional to 238.13 and 317.53 is: 423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 317.53 = 317.53 : x
  2. Step 2: Convert to fraction form
    238.13/317.53 = 317.53/x
  3. Step 3: Cross multiply
    238.13x = 317.53 × 317.53
  4. Step 4: Simplify right side
    238.13x = 100,826.09
  5. Step 5: Solve for x
    x = 100,826.09/238.13
  6. Step 6: Final answer
    x = 423.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.