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Finding the Third Proportional to 20,763 and 31,198.50

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Solution

The third proportional to 20,763 and 31,198.50 is: 46,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763 : 31,198.50 = 31,198.50 : x
  2. Step 2: Convert to fraction form
    20,763/31,198.50 = 31,198.50/x
  3. Step 3: Cross multiply
    20,763x = 31,198.50 × 31,198.50
  4. Step 4: Simplify right side
    20,763x = 973,346,402.25
  5. Step 5: Solve for x
    x = 973,346,402.25/20,763
  6. Step 6: Final answer
    x = 46,878.89

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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.