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Finding the Third Proportional to 278,738 and 611,611

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Solution

The third proportional to 278,738 and 611,611 is: 1,342,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,738 : 611,611 = 611,611 : x
  2. Step 2: Convert to fraction form
    278,738/611,611 = 611,611/x
  3. Step 3: Cross multiply
    278,738x = 611,611 × 611,611
  4. Step 4: Simplify right side
    278,738x = 374,068,015,321
  5. Step 5: Solve for x
    x = 374,068,015,321/278,738
  6. Step 6: Final answer
    x = 1,342,005.81

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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.