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Finding the Third Proportional to 20,631.50 and 30,993

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Solution

The third proportional to 20,631.50 and 30,993 is: 46,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.50 : 30,993 = 30,993 : x
  2. Step 2: Convert to fraction form
    20,631.50/30,993 = 30,993/x
  3. Step 3: Cross multiply
    20,631.50x = 30,993 × 30,993
  4. Step 4: Simplify right side
    20,631.50x = 960,566,049
  5. Step 5: Solve for x
    x = 960,566,049/20,631.50
  6. Step 6: Final answer
    x = 46,558.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.