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Finding the Third Proportional to 266.18 and 574.57

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Solution

The third proportional to 266.18 and 574.57 is: 1,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 574.57 = 574.57 : x
  2. Step 2: Convert to fraction form
    266.18/574.57 = 574.57/x
  3. Step 3: Cross multiply
    266.18x = 574.57 × 574.57
  4. Step 4: Simplify right side
    266.18x = 330,131.04
  5. Step 5: Solve for x
    x = 330,131.04/266.18
  6. Step 6: Final answer
    x = 1,240.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.