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Finding the Third Proportional to 278,639 and 610,696

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Solution

The third proportional to 278,639 and 610,696 is: 1,338,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,639 : 610,696 = 610,696 : x
  2. Step 2: Convert to fraction form
    278,639/610,696 = 610,696/x
  3. Step 3: Cross multiply
    278,639x = 610,696 × 610,696
  4. Step 4: Simplify right side
    278,639x = 372,949,604,416
  5. Step 5: Solve for x
    x = 372,949,604,416/278,639
  6. Step 6: Final answer
    x = 1,338,468.79

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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.