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Finding the Third Proportional to 20,941 and 31,985

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Solution

The third proportional to 20,941 and 31,985 is: 48,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941 : 31,985 = 31,985 : x
  2. Step 2: Convert to fraction form
    20,941/31,985 = 31,985/x
  3. Step 3: Cross multiply
    20,941x = 31,985 × 31,985
  4. Step 4: Simplify right side
    20,941x = 1,023,040,225
  5. Step 5: Solve for x
    x = 1,023,040,225/20,941
  6. Step 6: Final answer
    x = 48,853.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.