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Finding the Third Proportional to 823.08 and 1,747.41

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Solution

The third proportional to 823.08 and 1,747.41 is: 3,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.08 : 1,747.41 = 1,747.41 : x
  2. Step 2: Convert to fraction form
    823.08/1,747.41 = 1,747.41/x
  3. Step 3: Cross multiply
    823.08x = 1,747.41 × 1,747.41
  4. Step 4: Simplify right side
    823.08x = 3,053,428.60
  5. Step 5: Solve for x
    x = 3,053,428.60/823.08
  6. Step 6: Final answer
    x = 3,709.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.