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Finding the Third Proportional to 129,268 and 186,181

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Solution

The third proportional to 129,268 and 186,181 is: 268,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,268 : 186,181 = 186,181 : x
  2. Step 2: Convert to fraction form
    129,268/186,181 = 186,181/x
  3. Step 3: Cross multiply
    129,268x = 186,181 × 186,181
  4. Step 4: Simplify right side
    129,268x = 34,663,364,761
  5. Step 5: Solve for x
    x = 34,663,364,761/129,268
  6. Step 6: Final answer
    x = 268,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.