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Finding the Third Proportional to 278,466 and 448,371

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Solution

The third proportional to 278,466 and 448,371 is: 721,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,466 : 448,371 = 448,371 : x
  2. Step 2: Convert to fraction form
    278,466/448,371 = 448,371/x
  3. Step 3: Cross multiply
    278,466x = 448,371 × 448,371
  4. Step 4: Simplify right side
    278,466x = 201,036,553,641
  5. Step 5: Solve for x
    x = 201,036,553,641/278,466
  6. Step 6: Final answer
    x = 721,942.91

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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.