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Finding the Third Proportional to 278,734 and 611,600

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Solution

The third proportional to 278,734 and 611,600 is: 1,341,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,734 : 611,600 = 611,600 : x
  2. Step 2: Convert to fraction form
    278,734/611,600 = 611,600/x
  3. Step 3: Cross multiply
    278,734x = 611,600 × 611,600
  4. Step 4: Simplify right side
    278,734x = 374,054,560,000
  5. Step 5: Solve for x
    x = 374,054,560,000/278,734
  6. Step 6: Final answer
    x = 1,341,976.80

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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.