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Finding the Third Proportional to 278,625.75 and 430,494.75

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Solution

The third proportional to 278,625.75 and 430,494.75 is: 665,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,625.75 : 430,494.75 = 430,494.75 : x
  2. Step 2: Convert to fraction form
    278,625.75/430,494.75 = 430,494.75/x
  3. Step 3: Cross multiply
    278,625.75x = 430,494.75 × 430,494.75
  4. Step 4: Simplify right side
    278,625.75x = 185,325,729,777.56
  5. Step 5: Solve for x
    x = 185,325,729,777.56/278,625.75
  6. Step 6: Final answer
    x = 665,142.15

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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.