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Finding the Third Proportional to 266.38 and 318.50

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Solution

The third proportional to 266.38 and 318.50 is: 380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.38 : 318.50 = 318.50 : x
  2. Step 2: Convert to fraction form
    266.38/318.50 = 318.50/x
  3. Step 3: Cross multiply
    266.38x = 318.50 × 318.50
  4. Step 4: Simplify right side
    266.38x = 101,442.25
  5. Step 5: Solve for x
    x = 101,442.25/266.38
  6. Step 6: Final answer
    x = 380.82

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.