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Finding the Third Proportional to 121,530.38 and 183,974.73

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Solution

The third proportional to 121,530.38 and 183,974.73 is: 278,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,530.38 : 183,974.73 = 183,974.73 : x
  2. Step 2: Convert to fraction form
    121,530.38/183,974.73 = 183,974.73/x
  3. Step 3: Cross multiply
    121,530.38x = 183,974.73 × 183,974.73
  4. Step 4: Simplify right side
    121,530.38x = 33,846,701,451.05
  5. Step 5: Solve for x
    x = 33,846,701,451.05/121,530.38
  6. Step 6: Final answer
    x = 278,504.05

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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.