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Finding the Third Proportional to 278,125.50 and 647,017.50

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Solution

The third proportional to 278,125.50 and 647,017.50 is: 1,505,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,125.50 : 647,017.50 = 647,017.50 : x
  2. Step 2: Convert to fraction form
    278,125.50/647,017.50 = 647,017.50/x
  3. Step 3: Cross multiply
    278,125.50x = 647,017.50 × 647,017.50
  4. Step 4: Simplify right side
    278,125.50x = 418,631,645,306.25
  5. Step 5: Solve for x
    x = 418,631,645,306.25/278,125.50
  6. Step 6: Final answer
    x = 1,505,189.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.