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Finding the Third Proportional to 81,928.97 and 123,645.23

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Solution

The third proportional to 81,928.97 and 123,645.23 is: 186,602.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,928.97 : 123,645.23 = 123,645.23 : x
  2. Step 2: Convert to fraction form
    81,928.97/123,645.23 = 123,645.23/x
  3. Step 3: Cross multiply
    81,928.97x = 123,645.23 × 123,645.23
  4. Step 4: Simplify right side
    81,928.97x = 15,288,143,983.65
  5. Step 5: Solve for x
    x = 15,288,143,983.65/81,928.97
  6. Step 6: Final answer
    x = 186,602.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.