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Finding the Third Proportional to 266.38 and 557.75

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Solution

The third proportional to 266.38 and 557.75 is: 1,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.38 : 557.75 = 557.75 : x
  2. Step 2: Convert to fraction form
    266.38/557.75 = 557.75/x
  3. Step 3: Cross multiply
    266.38x = 557.75 × 557.75
  4. Step 4: Simplify right side
    266.38x = 311,085.06
  5. Step 5: Solve for x
    x = 311,085.06/266.38
  6. Step 6: Final answer
    x = 1,167.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.