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Finding the Third Proportional to 565.38 and 843.13

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Solution

The third proportional to 565.38 and 843.13 is: 1,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 843.13 = 843.13 : x
  2. Step 2: Convert to fraction form
    565.38/843.13 = 843.13/x
  3. Step 3: Cross multiply
    565.38x = 843.13 × 843.13
  4. Step 4: Simplify right side
    565.38x = 710,859.77
  5. Step 5: Solve for x
    x = 710,859.77/565.38
  6. Step 6: Final answer
    x = 1,257.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.