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Finding the Third Proportional to 825.33 and 1,246.92

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Solution

The third proportional to 825.33 and 1,246.92 is: 1,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.33 : 1,246.92 = 1,246.92 : x
  2. Step 2: Convert to fraction form
    825.33/1,246.92 = 1,246.92/x
  3. Step 3: Cross multiply
    825.33x = 1,246.92 × 1,246.92
  4. Step 4: Simplify right side
    825.33x = 1,554,814.16
  5. Step 5: Solve for x
    x = 1,554,814.16/825.33
  6. Step 6: Final answer
    x = 1,883.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.