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Finding the Third Proportional to 83,602 and 128,027

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Solution

The third proportional to 83,602 and 128,027 is: 196,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602 : 128,027 = 128,027 : x
  2. Step 2: Convert to fraction form
    83,602/128,027 = 128,027/x
  3. Step 3: Cross multiply
    83,602x = 128,027 × 128,027
  4. Step 4: Simplify right side
    83,602x = 16,390,912,729
  5. Step 5: Solve for x
    x = 16,390,912,729/83,602
  6. Step 6: Final answer
    x = 196,058.86

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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.