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Finding the Third Proportional to 381.59 and 823.92

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Solution

The third proportional to 381.59 and 823.92 is: 1,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 823.92 = 823.92 : x
  2. Step 2: Convert to fraction form
    381.59/823.92 = 823.92/x
  3. Step 3: Cross multiply
    381.59x = 823.92 × 823.92
  4. Step 4: Simplify right side
    381.59x = 678,847.26
  5. Step 5: Solve for x
    x = 678,847.26/381.59
  6. Step 6: Final answer
    x = 1,779.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.