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Finding the Third Proportional to 266.88 and 391.44

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Solution

The third proportional to 266.88 and 391.44 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 391.44 = 391.44 : x
  2. Step 2: Convert to fraction form
    266.88/391.44 = 391.44/x
  3. Step 3: Cross multiply
    266.88x = 391.44 × 391.44
  4. Step 4: Simplify right side
    266.88x = 153,223.32
  5. Step 5: Solve for x
    x = 153,223.32/266.88
  6. Step 6: Final answer
    x = 574.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.