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Finding the Third Proportional to 120,859.73 and 256,126.64

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Solution

The third proportional to 120,859.73 and 256,126.64 is: 542,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.73 : 256,126.64 = 256,126.64 : x
  2. Step 2: Convert to fraction form
    120,859.73/256,126.64 = 256,126.64/x
  3. Step 3: Cross multiply
    120,859.73x = 256,126.64 × 256,126.64
  4. Step 4: Simplify right side
    120,859.73x = 65,600,856,037.85
  5. Step 5: Solve for x
    x = 65,600,856,037.85/120,859.73
  6. Step 6: Final answer
    x = 542,785.04

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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.