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Finding the Third Proportional to 20,433 and 30,771

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Solution

The third proportional to 20,433 and 30,771 is: 46,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433 : 30,771 = 30,771 : x
  2. Step 2: Convert to fraction form
    20,433/30,771 = 30,771/x
  3. Step 3: Cross multiply
    20,433x = 30,771 × 30,771
  4. Step 4: Simplify right side
    20,433x = 946,854,441
  5. Step 5: Solve for x
    x = 946,854,441/20,433
  6. Step 6: Final answer
    x = 46,339.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.