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Finding the Third Proportional to 42,305 and 91,682

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Solution

The third proportional to 42,305 and 91,682 is: 198,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,305 : 91,682 = 91,682 : x
  2. Step 2: Convert to fraction form
    42,305/91,682 = 91,682/x
  3. Step 3: Cross multiply
    42,305x = 91,682 × 91,682
  4. Step 4: Simplify right side
    42,305x = 8,405,589,124
  5. Step 5: Solve for x
    x = 8,405,589,124/42,305
  6. Step 6: Final answer
    x = 198,690.21

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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.