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Finding the Third Proportional to 128,217.25 and 279,010.75

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Solution

The third proportional to 128,217.25 and 279,010.75 is: 607,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,217.25 : 279,010.75 = 279,010.75 : x
  2. Step 2: Convert to fraction form
    128,217.25/279,010.75 = 279,010.75/x
  3. Step 3: Cross multiply
    128,217.25x = 279,010.75 × 279,010.75
  4. Step 4: Simplify right side
    128,217.25x = 77,846,998,615.56
  5. Step 5: Solve for x
    x = 77,846,998,615.56/128,217.25
  6. Step 6: Final answer
    x = 607,149.18

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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.