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Finding the Third Proportional to 566.20 and 865.78

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Solution

The third proportional to 566.20 and 865.78 is: 1,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 865.78 = 865.78 : x
  2. Step 2: Convert to fraction form
    566.20/865.78 = 865.78/x
  3. Step 3: Cross multiply
    566.20x = 865.78 × 865.78
  4. Step 4: Simplify right side
    566.20x = 749,577.17
  5. Step 5: Solve for x
    x = 749,577.17/566.20
  6. Step 6: Final answer
    x = 1,323.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.