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Finding the Third Proportional to 823.08 and 1,785.38

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Solution

The third proportional to 823.08 and 1,785.38 is: 3,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.08 : 1,785.38 = 1,785.38 : x
  2. Step 2: Convert to fraction form
    823.08/1,785.38 = 1,785.38/x
  3. Step 3: Cross multiply
    823.08x = 1,785.38 × 1,785.38
  4. Step 4: Simplify right side
    823.08x = 3,187,563.89
  5. Step 5: Solve for x
    x = 3,187,563.89/823.08
  6. Step 6: Final answer
    x = 3,872.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.