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Finding the Third Proportional to 8,945 and 20,797

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Solution

The third proportional to 8,945 and 20,797 is: 48,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945 : 20,797 = 20,797 : x
  2. Step 2: Convert to fraction form
    8,945/20,797 = 20,797/x
  3. Step 3: Cross multiply
    8,945x = 20,797 × 20,797
  4. Step 4: Simplify right side
    8,945x = 432,515,209
  5. Step 5: Solve for x
    x = 432,515,209/8,945
  6. Step 6: Final answer
    x = 48,352.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.