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Finding the Third Proportional to 381,246 and 825,255

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Solution

The third proportional to 381,246 and 825,255 is: 1,786,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,246 : 825,255 = 825,255 : x
  2. Step 2: Convert to fraction form
    381,246/825,255 = 825,255/x
  3. Step 3: Cross multiply
    381,246x = 825,255 × 825,255
  4. Step 4: Simplify right side
    381,246x = 681,045,815,025
  5. Step 5: Solve for x
    x = 681,045,815,025/381,246
  6. Step 6: Final answer
    x = 1,786,368.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.