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Finding the Third Proportional to 279,123.75 and 605,508.75

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Solution

The third proportional to 279,123.75 and 605,508.75 is: 1,313,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,123.75 : 605,508.75 = 605,508.75 : x
  2. Step 2: Convert to fraction form
    279,123.75/605,508.75 = 605,508.75/x
  3. Step 3: Cross multiply
    279,123.75x = 605,508.75 × 605,508.75
  4. Step 4: Simplify right side
    279,123.75x = 366,640,846,326.56
  5. Step 5: Solve for x
    x = 366,640,846,326.56/279,123.75
  6. Step 6: Final answer
    x = 1,313,542.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.