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Finding the Third Proportional to 266.41 and 568.90

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Solution

The third proportional to 266.41 and 568.90 is: 1,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.41 : 568.90 = 568.90 : x
  2. Step 2: Convert to fraction form
    266.41/568.90 = 568.90/x
  3. Step 3: Cross multiply
    266.41x = 568.90 × 568.90
  4. Step 4: Simplify right side
    266.41x = 323,645.43
  5. Step 5: Solve for x
    x = 323,645.43/266.41
  6. Step 6: Final answer
    x = 1,214.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.