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Finding the Third Proportional to 569.11 and 855.42

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Solution

The third proportional to 569.11 and 855.42 is: 1,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 855.42 = 855.42 : x
  2. Step 2: Convert to fraction form
    569.11/855.42 = 855.42/x
  3. Step 3: Cross multiply
    569.11x = 855.42 × 855.42
  4. Step 4: Simplify right side
    569.11x = 731,746.58
  5. Step 5: Solve for x
    x = 731,746.58/569.11
  6. Step 6: Final answer
    x = 1,285.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.