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Finding the Third Proportional to 121,090 and 188,993

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Solution

The third proportional to 121,090 and 188,993 is: 294,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,090 : 188,993 = 188,993 : x
  2. Step 2: Convert to fraction form
    121,090/188,993 = 188,993/x
  3. Step 3: Cross multiply
    121,090x = 188,993 × 188,993
  4. Step 4: Simplify right side
    121,090x = 35,718,354,049
  5. Step 5: Solve for x
    x = 35,718,354,049/121,090
  6. Step 6: Final answer
    x = 294,973.61

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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.