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Finding the Third Proportional to 128,540 and 192,240

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Solution

The third proportional to 128,540 and 192,240 is: 287,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,540 : 192,240 = 192,240 : x
  2. Step 2: Convert to fraction form
    128,540/192,240 = 192,240/x
  3. Step 3: Cross multiply
    128,540x = 192,240 × 192,240
  4. Step 4: Simplify right side
    128,540x = 36,956,217,600
  5. Step 5: Solve for x
    x = 36,956,217,600/128,540
  6. Step 6: Final answer
    x = 287,507.53

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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.