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Finding the Third Proportional to 825.19 and 1,778.20

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Solution

The third proportional to 825.19 and 1,778.20 is: 3,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,778.20 = 1,778.20 : x
  2. Step 2: Convert to fraction form
    825.19/1,778.20 = 1,778.20/x
  3. Step 3: Cross multiply
    825.19x = 1,778.20 × 1,778.20
  4. Step 4: Simplify right side
    825.19x = 3,162,006.35
  5. Step 5: Solve for x
    x = 3,162,006.35/825.19
  6. Step 6: Final answer
    x = 3,831.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.