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Finding the Third Proportional to 278,686 and 427,026

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Solution

The third proportional to 278,686 and 427,026 is: 654,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,686 : 427,026 = 427,026 : x
  2. Step 2: Convert to fraction form
    278,686/427,026 = 427,026/x
  3. Step 3: Cross multiply
    278,686x = 427,026 × 427,026
  4. Step 4: Simplify right side
    278,686x = 182,351,204,676
  5. Step 5: Solve for x
    x = 182,351,204,676/278,686
  6. Step 6: Final answer
    x = 654,324.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.