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Finding the Third Proportional to 121,940.44 and 191,540.53

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Solution

The third proportional to 121,940.44 and 191,540.53 is: 300,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,940.44 : 191,540.53 = 191,540.53 : x
  2. Step 2: Convert to fraction form
    121,940.44/191,540.53 = 191,540.53/x
  3. Step 3: Cross multiply
    121,940.44x = 191,540.53 × 191,540.53
  4. Step 4: Simplify right side
    121,940.44x = 36,687,775,111.53
  5. Step 5: Solve for x
    x = 36,687,775,111.53/121,940.44
  6. Step 6: Final answer
    x = 300,866.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.