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Finding the Third Proportional to 96,180 and 128,367

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Solution

The third proportional to 96,180 and 128,367 is: 171,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,180 : 128,367 = 128,367 : x
  2. Step 2: Convert to fraction form
    96,180/128,367 = 128,367/x
  3. Step 3: Cross multiply
    96,180x = 128,367 × 128,367
  4. Step 4: Simplify right side
    96,180x = 16,478,086,689
  5. Step 5: Solve for x
    x = 16,478,086,689/96,180
  6. Step 6: Final answer
    x = 171,325.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.