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Finding the Third Proportional to 121,844 and 191,181

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Solution

The third proportional to 121,844 and 191,181 is: 299,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,844 : 191,181 = 191,181 : x
  2. Step 2: Convert to fraction form
    121,844/191,181 = 191,181/x
  3. Step 3: Cross multiply
    121,844x = 191,181 × 191,181
  4. Step 4: Simplify right side
    121,844x = 36,550,174,761
  5. Step 5: Solve for x
    x = 36,550,174,761/121,844
  6. Step 6: Final answer
    x = 299,975.17

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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.