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Finding the Third Proportional to 20,420 and 32,763

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Solution

The third proportional to 20,420 and 32,763 is: 52,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420 : 32,763 = 32,763 : x
  2. Step 2: Convert to fraction form
    20,420/32,763 = 32,763/x
  3. Step 3: Cross multiply
    20,420x = 32,763 × 32,763
  4. Step 4: Simplify right side
    20,420x = 1,073,414,169
  5. Step 5: Solve for x
    x = 1,073,414,169/20,420
  6. Step 6: Final answer
    x = 52,566.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.