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Finding the Third Proportional to 20,958 and 29,797

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Solution

The third proportional to 20,958 and 29,797 is: 42,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,958 : 29,797 = 29,797 : x
  2. Step 2: Convert to fraction form
    20,958/29,797 = 29,797/x
  3. Step 3: Cross multiply
    20,958x = 29,797 × 29,797
  4. Step 4: Simplify right side
    20,958x = 887,861,209
  5. Step 5: Solve for x
    x = 887,861,209/20,958
  6. Step 6: Final answer
    x = 42,363.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.