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Finding the Third Proportional to 20,742 and 31,041

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Solution

The third proportional to 20,742 and 31,041 is: 46,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 31,041 = 31,041 : x
  2. Step 2: Convert to fraction form
    20,742/31,041 = 31,041/x
  3. Step 3: Cross multiply
    20,742x = 31,041 × 31,041
  4. Step 4: Simplify right side
    20,742x = 963,543,681
  5. Step 5: Solve for x
    x = 963,543,681/20,742
  6. Step 6: Final answer
    x = 46,453.75

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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.