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Finding the Third Proportional to 38,409 and 82,146

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Solution

The third proportional to 38,409 and 82,146 is: 175,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409 : 82,146 = 82,146 : x
  2. Step 2: Convert to fraction form
    38,409/82,146 = 82,146/x
  3. Step 3: Cross multiply
    38,409x = 82,146 × 82,146
  4. Step 4: Simplify right side
    38,409x = 6,747,965,316
  5. Step 5: Solve for x
    x = 6,747,965,316/38,409
  6. Step 6: Final answer
    x = 175,687.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.