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Finding the Third Proportional to 128,794 and 280,471

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Solution

The third proportional to 128,794 and 280,471 is: 610,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,794 : 280,471 = 280,471 : x
  2. Step 2: Convert to fraction form
    128,794/280,471 = 280,471/x
  3. Step 3: Cross multiply
    128,794x = 280,471 × 280,471
  4. Step 4: Simplify right side
    128,794x = 78,663,981,841
  5. Step 5: Solve for x
    x = 78,663,981,841/128,794
  6. Step 6: Final answer
    x = 610,773.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.