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Finding the Third Proportional to 278,007 and 606,991

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Solution

The third proportional to 278,007 and 606,991 is: 1,325,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007 : 606,991 = 606,991 : x
  2. Step 2: Convert to fraction form
    278,007/606,991 = 606,991/x
  3. Step 3: Cross multiply
    278,007x = 606,991 × 606,991
  4. Step 4: Simplify right side
    278,007x = 368,438,074,081
  5. Step 5: Solve for x
    x = 368,438,074,081/278,007
  6. Step 6: Final answer
    x = 1,325,283.44

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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.