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Finding the Third Proportional to 38,858 and 80,481

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Solution

The third proportional to 38,858 and 80,481 is: 166,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858 : 80,481 = 80,481 : x
  2. Step 2: Convert to fraction form
    38,858/80,481 = 80,481/x
  3. Step 3: Cross multiply
    38,858x = 80,481 × 80,481
  4. Step 4: Simplify right side
    38,858x = 6,477,191,361
  5. Step 5: Solve for x
    x = 6,477,191,361/38,858
  6. Step 6: Final answer
    x = 166,688.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.