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Finding the Third Proportional to 381.38 and 821.53

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Solution

The third proportional to 381.38 and 821.53 is: 1,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 821.53 = 821.53 : x
  2. Step 2: Convert to fraction form
    381.38/821.53 = 821.53/x
  3. Step 3: Cross multiply
    381.38x = 821.53 × 821.53
  4. Step 4: Simplify right side
    381.38x = 674,913.59
  5. Step 5: Solve for x
    x = 674,913.59/381.38
  6. Step 6: Final answer
    x = 1,769.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.