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Finding the Third Proportional to 278,634 and 610,686

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Solution

The third proportional to 278,634 and 610,686 is: 1,338,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,634 : 610,686 = 610,686 : x
  2. Step 2: Convert to fraction form
    278,634/610,686 = 610,686/x
  3. Step 3: Cross multiply
    278,634x = 610,686 × 610,686
  4. Step 4: Simplify right side
    278,634x = 372,937,390,596
  5. Step 5: Solve for x
    x = 372,937,390,596/278,634
  6. Step 6: Final answer
    x = 1,338,448.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.