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Finding the Third Proportional to 278,642.25 and 442,824.75

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Solution

The third proportional to 278,642.25 and 442,824.75 is: 703,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,642.25 : 442,824.75 = 442,824.75 : x
  2. Step 2: Convert to fraction form
    278,642.25/442,824.75 = 442,824.75/x
  3. Step 3: Cross multiply
    278,642.25x = 442,824.75 × 442,824.75
  4. Step 4: Simplify right side
    278,642.25x = 196,093,759,212.56
  5. Step 5: Solve for x
    x = 196,093,759,212.56/278,642.25
  6. Step 6: Final answer
    x = 703,747.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.