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Finding the Third Proportional to 128,160 and 192,177

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Solution

The third proportional to 128,160 and 192,177 is: 288,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,160 : 192,177 = 192,177 : x
  2. Step 2: Convert to fraction form
    128,160/192,177 = 192,177/x
  3. Step 3: Cross multiply
    128,160x = 192,177 × 192,177
  4. Step 4: Simplify right side
    128,160x = 36,931,999,329
  5. Step 5: Solve for x
    x = 36,931,999,329/128,160
  6. Step 6: Final answer
    x = 288,171.03

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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.