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Finding the Third Proportional to 83,901.75 and 128,040

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Solution

The third proportional to 83,901.75 and 128,040 is: 195,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,901.75 : 128,040 = 128,040 : x
  2. Step 2: Convert to fraction form
    83,901.75/128,040 = 128,040/x
  3. Step 3: Cross multiply
    83,901.75x = 128,040 × 128,040
  4. Step 4: Simplify right side
    83,901.75x = 16,394,241,600
  5. Step 5: Solve for x
    x = 16,394,241,600/83,901.75
  6. Step 6: Final answer
    x = 195,398.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.