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Finding the Third Proportional to 278,055 and 611,406

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Solution

The third proportional to 278,055 and 611,406 is: 1,344,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,055 : 611,406 = 611,406 : x
  2. Step 2: Convert to fraction form
    278,055/611,406 = 611,406/x
  3. Step 3: Cross multiply
    278,055x = 611,406 × 611,406
  4. Step 4: Simplify right side
    278,055x = 373,817,296,836
  5. Step 5: Solve for x
    x = 373,817,296,836/278,055
  6. Step 6: Final answer
    x = 1,344,400.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.