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Finding the Third Proportional to 38,275 and 81,105

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Solution

The third proportional to 38,275 and 81,105 is: 171,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275 : 81,105 = 81,105 : x
  2. Step 2: Convert to fraction form
    38,275/81,105 = 81,105/x
  3. Step 3: Cross multiply
    38,275x = 81,105 × 81,105
  4. Step 4: Simplify right side
    38,275x = 6,578,021,025
  5. Step 5: Solve for x
    x = 6,578,021,025/38,275
  6. Step 6: Final answer
    x = 171,862.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.