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Finding the Third Proportional to 266.88 and 547.06

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Solution

The third proportional to 266.88 and 547.06 is: 1,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 547.06 = 547.06 : x
  2. Step 2: Convert to fraction form
    266.88/547.06 = 547.06/x
  3. Step 3: Cross multiply
    266.88x = 547.06 × 547.06
  4. Step 4: Simplify right side
    266.88x = 299,277.38
  5. Step 5: Solve for x
    x = 299,277.38/266.88
  6. Step 6: Final answer
    x = 1,121.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.