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Finding the Third Proportional to 120,375 and 256,302

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Solution

The third proportional to 120,375 and 256,302 is: 545,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,375 : 256,302 = 256,302 : x
  2. Step 2: Convert to fraction form
    120,375/256,302 = 256,302/x
  3. Step 3: Cross multiply
    120,375x = 256,302 × 256,302
  4. Step 4: Simplify right side
    120,375x = 65,690,715,204
  5. Step 5: Solve for x
    x = 65,690,715,204/120,375
  6. Step 6: Final answer
    x = 545,717.26

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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.