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Finding the Third Proportional to 121,158 and 178,993

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Solution

The third proportional to 121,158 and 178,993 is: 264,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,158 : 178,993 = 178,993 : x
  2. Step 2: Convert to fraction form
    121,158/178,993 = 178,993/x
  3. Step 3: Cross multiply
    121,158x = 178,993 × 178,993
  4. Step 4: Simplify right side
    121,158x = 32,038,494,049
  5. Step 5: Solve for x
    x = 32,038,494,049/121,158
  6. Step 6: Final answer
    x = 264,435.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.