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Finding the Third Proportional to 381.94 and 564.19

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Solution

The third proportional to 381.94 and 564.19 is: 833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 564.19 = 564.19 : x
  2. Step 2: Convert to fraction form
    381.94/564.19 = 564.19/x
  3. Step 3: Cross multiply
    381.94x = 564.19 × 564.19
  4. Step 4: Simplify right side
    381.94x = 318,307.54
  5. Step 5: Solve for x
    x = 318,307.54/381.94
  6. Step 6: Final answer
    x = 833.40

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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.