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Finding the Third Proportional to 120,859.52 and 256,126.43

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Solution

The third proportional to 120,859.52 and 256,126.43 is: 542,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.52 : 256,126.43 = 256,126.43 : x
  2. Step 2: Convert to fraction form
    120,859.52/256,126.43 = 256,126.43/x
  3. Step 3: Cross multiply
    120,859.52x = 256,126.43 × 256,126.43
  4. Step 4: Simplify right side
    120,859.52x = 65,600,747,984.47
  5. Step 5: Solve for x
    x = 65,600,747,984.47/120,859.52
  6. Step 6: Final answer
    x = 542,785.10

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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.