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Finding the Third Proportional to 128,540.25 and 192,240.56

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Solution

The third proportional to 128,540.25 and 192,240.56 is: 287,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,540.25 : 192,240.56 = 192,240.56 : x
  2. Step 2: Convert to fraction form
    128,540.25/192,240.56 = 192,240.56/x
  3. Step 3: Cross multiply
    128,540.25x = 192,240.56 × 192,240.56
  4. Step 4: Simplify right side
    128,540.25x = 36,956,433,870.32
  5. Step 5: Solve for x
    x = 36,956,433,870.32/128,540.25
  6. Step 6: Final answer
    x = 287,508.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.