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Finding the Third Proportional to 20,982 and 45,519

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Solution

The third proportional to 20,982 and 45,519 is: 98,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982 : 45,519 = 45,519 : x
  2. Step 2: Convert to fraction form
    20,982/45,519 = 45,519/x
  3. Step 3: Cross multiply
    20,982x = 45,519 × 45,519
  4. Step 4: Simplify right side
    20,982x = 2,071,979,361
  5. Step 5: Solve for x
    x = 2,071,979,361/20,982
  6. Step 6: Final answer
    x = 98,750.33

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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.