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Finding the Third Proportional to 278,646 and 442,831

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Solution

The third proportional to 278,646 and 442,831 is: 703,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,646 : 442,831 = 442,831 : x
  2. Step 2: Convert to fraction form
    278,646/442,831 = 442,831/x
  3. Step 3: Cross multiply
    278,646x = 442,831 × 442,831
  4. Step 4: Simplify right side
    278,646x = 196,099,294,561
  5. Step 5: Solve for x
    x = 196,099,294,561/278,646
  6. Step 6: Final answer
    x = 703,757.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.