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Finding the Third Proportional to 381.88 and 502.69

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Solution

The third proportional to 381.88 and 502.69 is: 661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.88 : 502.69 = 502.69 : x
  2. Step 2: Convert to fraction form
    381.88/502.69 = 502.69/x
  3. Step 3: Cross multiply
    381.88x = 502.69 × 502.69
  4. Step 4: Simplify right side
    381.88x = 252,694.72
  5. Step 5: Solve for x
    x = 252,694.72/381.88
  6. Step 6: Final answer
    x = 661.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.