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Finding the Third Proportional to 20,423 and 30,633

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Solution

The third proportional to 20,423 and 30,633 is: 45,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423 : 30,633 = 30,633 : x
  2. Step 2: Convert to fraction form
    20,423/30,633 = 30,633/x
  3. Step 3: Cross multiply
    20,423x = 30,633 × 30,633
  4. Step 4: Simplify right side
    20,423x = 938,380,689
  5. Step 5: Solve for x
    x = 938,380,689/20,423
  6. Step 6: Final answer
    x = 45,947.25

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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.