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Finding the Third Proportional to 266.28 and 569.59

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Solution

The third proportional to 266.28 and 569.59 is: 1,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.28 : 569.59 = 569.59 : x
  2. Step 2: Convert to fraction form
    266.28/569.59 = 569.59/x
  3. Step 3: Cross multiply
    266.28x = 569.59 × 569.59
  4. Step 4: Simplify right side
    266.28x = 324,428.14
  5. Step 5: Solve for x
    x = 324,428.14/266.28
  6. Step 6: Final answer
    x = 1,218.36

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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.