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Finding the Third Proportional to 278,007 and 606,992

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Solution

The third proportional to 278,007 and 606,992 is: 1,325,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007 : 606,992 = 606,992 : x
  2. Step 2: Convert to fraction form
    278,007/606,992 = 606,992/x
  3. Step 3: Cross multiply
    278,007x = 606,992 × 606,992
  4. Step 4: Simplify right side
    278,007x = 368,439,288,064
  5. Step 5: Solve for x
    x = 368,439,288,064/278,007
  6. Step 6: Final answer
    x = 1,325,287.81

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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.