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Finding the Third Proportional to 81,222.75 and 121,834.13

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Solution

The third proportional to 81,222.75 and 121,834.13 is: 182,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222.75 : 121,834.13 = 121,834.13 : x
  2. Step 2: Convert to fraction form
    81,222.75/121,834.13 = 121,834.13/x
  3. Step 3: Cross multiply
    81,222.75x = 121,834.13 × 121,834.13
  4. Step 4: Simplify right side
    81,222.75x = 14,843,554,014.52
  5. Step 5: Solve for x
    x = 14,843,554,014.52/81,222.75
  6. Step 6: Final answer
    x = 182,751.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.