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Finding the Third Proportional to 13,782 and 20,633

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Solution

The third proportional to 13,782 and 20,633 is: 30,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782 : 20,633 = 20,633 : x
  2. Step 2: Convert to fraction form
    13,782/20,633 = 20,633/x
  3. Step 3: Cross multiply
    13,782x = 20,633 × 20,633
  4. Step 4: Simplify right side
    13,782x = 425,720,689
  5. Step 5: Solve for x
    x = 425,720,689/13,782
  6. Step 6: Final answer
    x = 30,889.62

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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.