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Finding the Third Proportional to 121,081 and 188,981

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Solution

The third proportional to 121,081 and 188,981 is: 294,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,081 : 188,981 = 188,981 : x
  2. Step 2: Convert to fraction form
    121,081/188,981 = 188,981/x
  3. Step 3: Cross multiply
    121,081x = 188,981 × 188,981
  4. Step 4: Simplify right side
    121,081x = 35,713,818,361
  5. Step 5: Solve for x
    x = 35,713,818,361/121,081
  6. Step 6: Final answer
    x = 294,958.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.