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Finding the Third Proportional to 565.22 and 855.84

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Solution

The third proportional to 565.22 and 855.84 is: 1,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 855.84 = 855.84 : x
  2. Step 2: Convert to fraction form
    565.22/855.84 = 855.84/x
  3. Step 3: Cross multiply
    565.22x = 855.84 × 855.84
  4. Step 4: Simplify right side
    565.22x = 732,468.52
  5. Step 5: Solve for x
    x = 732,468.52/565.22
  6. Step 6: Final answer
    x = 1,295.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.