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Finding the Third Proportional to 120,750 and 265,287

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Solution

The third proportional to 120,750 and 265,287 is: 582,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,750 : 265,287 = 265,287 : x
  2. Step 2: Convert to fraction form
    120,750/265,287 = 265,287/x
  3. Step 3: Cross multiply
    120,750x = 265,287 × 265,287
  4. Step 4: Simplify right side
    120,750x = 70,377,192,369
  5. Step 5: Solve for x
    x = 70,377,192,369/120,750
  6. Step 6: Final answer
    x = 582,833.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.