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Finding the Third Proportional to 278,760 and 374,562

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Solution

The third proportional to 278,760 and 374,562 is: 503,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,760 : 374,562 = 374,562 : x
  2. Step 2: Convert to fraction form
    278,760/374,562 = 374,562/x
  3. Step 3: Cross multiply
    278,760x = 374,562 × 374,562
  4. Step 4: Simplify right side
    278,760x = 140,296,691,844
  5. Step 5: Solve for x
    x = 140,296,691,844/278,760
  6. Step 6: Final answer
    x = 503,288.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.