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Finding the Third Proportional to 40,664 and 57,189

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Solution

The third proportional to 40,664 and 57,189 is: 80,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,664 : 57,189 = 57,189 : x
  2. Step 2: Convert to fraction form
    40,664/57,189 = 57,189/x
  3. Step 3: Cross multiply
    40,664x = 57,189 × 57,189
  4. Step 4: Simplify right side
    40,664x = 3,270,581,721
  5. Step 5: Solve for x
    x = 3,270,581,721/40,664
  6. Step 6: Final answer
    x = 80,429.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.