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Finding the Third Proportional to 81,863.50 and 122,292.50

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Solution

The third proportional to 81,863.50 and 122,292.50 is: 182,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.50 : 122,292.50 = 122,292.50 : x
  2. Step 2: Convert to fraction form
    81,863.50/122,292.50 = 122,292.50/x
  3. Step 3: Cross multiply
    81,863.50x = 122,292.50 × 122,292.50
  4. Step 4: Simplify right side
    81,863.50x = 14,955,455,556.25
  5. Step 5: Solve for x
    x = 14,955,455,556.25/81,863.50
  6. Step 6: Final answer
    x = 182,687.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.