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Finding the Third Proportional to 825.08 and 1,233.46

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Solution

The third proportional to 825.08 and 1,233.46 is: 1,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.08 : 1,233.46 = 1,233.46 : x
  2. Step 2: Convert to fraction form
    825.08/1,233.46 = 1,233.46/x
  3. Step 3: Cross multiply
    825.08x = 1,233.46 × 1,233.46
  4. Step 4: Simplify right side
    825.08x = 1,521,416.25
  5. Step 5: Solve for x
    x = 1,521,416.25/825.08
  6. Step 6: Final answer
    x = 1,843.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.