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Finding the Third Proportional to 37,990 and 81,823

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Solution

The third proportional to 37,990 and 81,823 is: 176,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,990 : 81,823 = 81,823 : x
  2. Step 2: Convert to fraction form
    37,990/81,823 = 81,823/x
  3. Step 3: Cross multiply
    37,990x = 81,823 × 81,823
  4. Step 4: Simplify right side
    37,990x = 6,695,003,329
  5. Step 5: Solve for x
    x = 6,695,003,329/37,990
  6. Step 6: Final answer
    x = 176,230.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.