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Finding the Third Proportional to 279,279 and 442,428.75

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Solution

The third proportional to 279,279 and 442,428.75 is: 700,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,279 : 442,428.75 = 442,428.75 : x
  2. Step 2: Convert to fraction form
    279,279/442,428.75 = 442,428.75/x
  3. Step 3: Cross multiply
    279,279x = 442,428.75 × 442,428.75
  4. Step 4: Simplify right side
    279,279x = 195,743,198,826.56
  5. Step 5: Solve for x
    x = 195,743,198,826.56/279,279
  6. Step 6: Final answer
    x = 700,887.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.