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Finding the Third Proportional to 20,045 and 31,949

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Solution

The third proportional to 20,045 and 31,949 is: 50,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045 : 31,949 = 31,949 : x
  2. Step 2: Convert to fraction form
    20,045/31,949 = 31,949/x
  3. Step 3: Cross multiply
    20,045x = 31,949 × 31,949
  4. Step 4: Simplify right side
    20,045x = 1,020,738,601
  5. Step 5: Solve for x
    x = 1,020,738,601/20,045
  6. Step 6: Final answer
    x = 50,922.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.