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Finding the Third Proportional to 278,874 and 430,907

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Solution

The third proportional to 278,874 and 430,907 is: 665,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,874 : 430,907 = 430,907 : x
  2. Step 2: Convert to fraction form
    278,874/430,907 = 430,907/x
  3. Step 3: Cross multiply
    278,874x = 430,907 × 430,907
  4. Step 4: Simplify right side
    278,874x = 185,680,842,649
  5. Step 5: Solve for x
    x = 185,680,842,649/278,874
  6. Step 6: Final answer
    x = 665,823.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.