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Finding the Third Proportional to 569.11 and 865.48

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Solution

The third proportional to 569.11 and 865.48 is: 1,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 865.48 = 865.48 : x
  2. Step 2: Convert to fraction form
    569.11/865.48 = 865.48/x
  3. Step 3: Cross multiply
    569.11x = 865.48 × 865.48
  4. Step 4: Simplify right side
    569.11x = 749,049.68
  5. Step 5: Solve for x
    x = 749,049.68/569.11
  6. Step 6: Final answer
    x = 1,316.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.