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Finding the Third Proportional to 81,121 and 125,017.50

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Solution

The third proportional to 81,121 and 125,017.50 is: 192,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,121 : 125,017.50 = 125,017.50 : x
  2. Step 2: Convert to fraction form
    81,121/125,017.50 = 125,017.50/x
  3. Step 3: Cross multiply
    81,121x = 125,017.50 × 125,017.50
  4. Step 4: Simplify right side
    81,121x = 15,629,375,306.25
  5. Step 5: Solve for x
    x = 15,629,375,306.25/81,121
  6. Step 6: Final answer
    x = 192,667.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.