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Finding the Third Proportional to 39,161 and 85,357

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Solution

The third proportional to 39,161 and 85,357 is: 186,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,161 : 85,357 = 85,357 : x
  2. Step 2: Convert to fraction form
    39,161/85,357 = 85,357/x
  3. Step 3: Cross multiply
    39,161x = 85,357 × 85,357
  4. Step 4: Simplify right side
    39,161x = 7,285,817,449
  5. Step 5: Solve for x
    x = 7,285,817,449/39,161
  6. Step 6: Final answer
    x = 186,047.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.