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Finding the Third Proportional to 20,001 and 42,917

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Solution

The third proportional to 20,001 and 42,917 is: 92,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001 : 42,917 = 42,917 : x
  2. Step 2: Convert to fraction form
    20,001/42,917 = 42,917/x
  3. Step 3: Cross multiply
    20,001x = 42,917 × 42,917
  4. Step 4: Simplify right side
    20,001x = 1,841,868,889
  5. Step 5: Solve for x
    x = 1,841,868,889/20,001
  6. Step 6: Final answer
    x = 92,088.84

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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.