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Finding the Third Proportional to 278,990 and 607,801

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Solution

The third proportional to 278,990 and 607,801 is: 1,324,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,990 : 607,801 = 607,801 : x
  2. Step 2: Convert to fraction form
    278,990/607,801 = 607,801/x
  3. Step 3: Cross multiply
    278,990x = 607,801 × 607,801
  4. Step 4: Simplify right side
    278,990x = 369,422,055,601
  5. Step 5: Solve for x
    x = 369,422,055,601/278,990
  6. Step 6: Final answer
    x = 1,324,140.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.