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Finding the Third Proportional to 120,198.50 and 256,479.50

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Solution

The third proportional to 120,198.50 and 256,479.50 is: 547,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.50 : 256,479.50 = 256,479.50 : x
  2. Step 2: Convert to fraction form
    120,198.50/256,479.50 = 256,479.50/x
  3. Step 3: Cross multiply
    120,198.50x = 256,479.50 × 256,479.50
  4. Step 4: Simplify right side
    120,198.50x = 65,781,733,920.25
  5. Step 5: Solve for x
    x = 65,781,733,920.25/120,198.50
  6. Step 6: Final answer
    x = 547,275.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.