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Finding the Third Proportional to 10,138.50 and 20,763

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Solution

The third proportional to 10,138.50 and 20,763 is: 42,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.50 : 20,763 = 20,763 : x
  2. Step 2: Convert to fraction form
    10,138.50/20,763 = 20,763/x
  3. Step 3: Cross multiply
    10,138.50x = 20,763 × 20,763
  4. Step 4: Simplify right side
    10,138.50x = 431,102,169
  5. Step 5: Solve for x
    x = 431,102,169/10,138.50
  6. Step 6: Final answer
    x = 42,521.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.