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Finding the Third Proportional to 38,177 and 81,427

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Solution

The third proportional to 38,177 and 81,427 is: 173,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,177 : 81,427 = 81,427 : x
  2. Step 2: Convert to fraction form
    38,177/81,427 = 81,427/x
  3. Step 3: Cross multiply
    38,177x = 81,427 × 81,427
  4. Step 4: Simplify right side
    38,177x = 6,630,356,329
  5. Step 5: Solve for x
    x = 6,630,356,329/38,177
  6. Step 6: Final answer
    x = 173,674.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.