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Finding the Third Proportional to 382.75 and 565.38

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Solution

The third proportional to 382.75 and 565.38 is: 835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 565.38 = 565.38 : x
  2. Step 2: Convert to fraction form
    382.75/565.38 = 565.38/x
  3. Step 3: Cross multiply
    382.75x = 565.38 × 565.38
  4. Step 4: Simplify right side
    382.75x = 319,648.89
  5. Step 5: Solve for x
    x = 319,648.89/382.75
  6. Step 6: Final answer
    x = 835.14

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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.