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Finding the Third Proportional to 20,991 and 31,653

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Solution

The third proportional to 20,991 and 31,653 is: 47,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991 : 31,653 = 31,653 : x
  2. Step 2: Convert to fraction form
    20,991/31,653 = 31,653/x
  3. Step 3: Cross multiply
    20,991x = 31,653 × 31,653
  4. Step 4: Simplify right side
    20,991x = 1,001,912,409
  5. Step 5: Solve for x
    x = 1,001,912,409/20,991
  6. Step 6: Final answer
    x = 47,730.57

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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.