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Finding the Third Proportional to 20,940 and 32,082

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Solution

The third proportional to 20,940 and 32,082 is: 49,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940 : 32,082 = 32,082 : x
  2. Step 2: Convert to fraction form
    20,940/32,082 = 32,082/x
  3. Step 3: Cross multiply
    20,940x = 32,082 × 32,082
  4. Step 4: Simplify right side
    20,940x = 1,029,254,724
  5. Step 5: Solve for x
    x = 1,029,254,724/20,940
  6. Step 6: Final answer
    x = 49,152.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.