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Finding the Third Proportional to 20,975 and 42,922

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Solution

The third proportional to 20,975 and 42,922 is: 87,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975 : 42,922 = 42,922 : x
  2. Step 2: Convert to fraction form
    20,975/42,922 = 42,922/x
  3. Step 3: Cross multiply
    20,975x = 42,922 × 42,922
  4. Step 4: Simplify right side
    20,975x = 1,842,298,084
  5. Step 5: Solve for x
    x = 1,842,298,084/20,975
  6. Step 6: Final answer
    x = 87,833.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.