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Finding the Third Proportional to 266.38 and 396.13

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Solution

The third proportional to 266.38 and 396.13 is: 589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.38 : 396.13 = 396.13 : x
  2. Step 2: Convert to fraction form
    266.38/396.13 = 396.13/x
  3. Step 3: Cross multiply
    266.38x = 396.13 × 396.13
  4. Step 4: Simplify right side
    266.38x = 156,915.02
  5. Step 5: Solve for x
    x = 156,915.02/266.38
  6. Step 6: Final answer
    x = 589.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.