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Finding the Third Proportional to 278,468 and 448,374

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Solution

The third proportional to 278,468 and 448,374 is: 721,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468 : 448,374 = 448,374 : x
  2. Step 2: Convert to fraction form
    278,468/448,374 = 448,374/x
  3. Step 3: Cross multiply
    278,468x = 448,374 × 448,374
  4. Step 4: Simplify right side
    278,468x = 201,039,243,876
  5. Step 5: Solve for x
    x = 201,039,243,876/278,468
  6. Step 6: Final answer
    x = 721,947.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.