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Finding the Third Proportional to 278,464 and 448,368

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Solution

The third proportional to 278,464 and 448,368 is: 721,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,464 : 448,368 = 448,368 : x
  2. Step 2: Convert to fraction form
    278,464/448,368 = 448,368/x
  3. Step 3: Cross multiply
    278,464x = 448,368 × 448,368
  4. Step 4: Simplify right side
    278,464x = 201,033,863,424
  5. Step 5: Solve for x
    x = 201,033,863,424/278,464
  6. Step 6: Final answer
    x = 721,938.43

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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.