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Finding the Third Proportional to 266.97 and 580.94

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Solution

The third proportional to 266.97 and 580.94 is: 1,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.97 : 580.94 = 580.94 : x
  2. Step 2: Convert to fraction form
    266.97/580.94 = 580.94/x
  3. Step 3: Cross multiply
    266.97x = 580.94 × 580.94
  4. Step 4: Simplify right side
    266.97x = 337,488.38
  5. Step 5: Solve for x
    x = 337,488.38/266.97
  6. Step 6: Final answer
    x = 1,264.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.