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Finding the Third Proportional to 117,474 and 189,151

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Solution

The third proportional to 117,474 and 189,151 is: 304,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,474 : 189,151 = 189,151 : x
  2. Step 2: Convert to fraction form
    117,474/189,151 = 189,151/x
  3. Step 3: Cross multiply
    117,474x = 189,151 × 189,151
  4. Step 4: Simplify right side
    117,474x = 35,778,100,801
  5. Step 5: Solve for x
    x = 35,778,100,801/117,474
  6. Step 6: Final answer
    x = 304,561.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.