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Finding the Third Proportional to 381.09 and 565.31

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Solution

The third proportional to 381.09 and 565.31 is: 838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 565.31 = 565.31 : x
  2. Step 2: Convert to fraction form
    381.09/565.31 = 565.31/x
  3. Step 3: Cross multiply
    381.09x = 565.31 × 565.31
  4. Step 4: Simplify right side
    381.09x = 319,578.22
  5. Step 5: Solve for x
    x = 319,578.22/381.09
  6. Step 6: Final answer
    x = 838.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.