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Finding the Third Proportional to 122,384 and 259,448

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Solution

The third proportional to 122,384 and 259,448 is: 550,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,384 : 259,448 = 259,448 : x
  2. Step 2: Convert to fraction form
    122,384/259,448 = 259,448/x
  3. Step 3: Cross multiply
    122,384x = 259,448 × 259,448
  4. Step 4: Simplify right side
    122,384x = 67,313,264,704
  5. Step 5: Solve for x
    x = 67,313,264,704/122,384
  6. Step 6: Final answer
    x = 550,016.87

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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.