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Finding the Third Proportional to 41,922 and 90,990

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Solution

The third proportional to 41,922 and 90,990 is: 197,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 90,990 = 90,990 : x
  2. Step 2: Convert to fraction form
    41,922/90,990 = 90,990/x
  3. Step 3: Cross multiply
    41,922x = 90,990 × 90,990
  4. Step 4: Simplify right side
    41,922x = 8,279,180,100
  5. Step 5: Solve for x
    x = 8,279,180,100/41,922
  6. Step 6: Final answer
    x = 197,490.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.