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Finding the Third Proportional to 20,371.50 and 20,766.38

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Solution

The third proportional to 20,371.50 and 20,766.38 is: 21,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,371.50 : 20,766.38 = 20,766.38 : x
  2. Step 2: Convert to fraction form
    20,371.50/20,766.38 = 20,766.38/x
  3. Step 3: Cross multiply
    20,371.50x = 20,766.38 × 20,766.38
  4. Step 4: Simplify right side
    20,371.50x = 431,242,330.64
  5. Step 5: Solve for x
    x = 431,242,330.64/20,371.50
  6. Step 6: Final answer
    x = 21,168.90

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.