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Finding the Third Proportional to 278,139.38 and 598,194.75

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Solution

The third proportional to 278,139.38 and 598,194.75 is: 1,286,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,139.38 : 598,194.75 = 598,194.75 : x
  2. Step 2: Convert to fraction form
    278,139.38/598,194.75 = 598,194.75/x
  3. Step 3: Cross multiply
    278,139.38x = 598,194.75 × 598,194.75
  4. Step 4: Simplify right side
    278,139.38x = 357,836,958,927.56
  5. Step 5: Solve for x
    x = 357,836,958,927.56/278,139.38
  6. Step 6: Final answer
    x = 1,286,538.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.