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Finding the Third Proportional to 20,518.31 and 41,765.63

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Solution

The third proportional to 20,518.31 and 41,765.63 is: 85,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518.31 : 41,765.63 = 41,765.63 : x
  2. Step 2: Convert to fraction form
    20,518.31/41,765.63 = 41,765.63/x
  3. Step 3: Cross multiply
    20,518.31x = 41,765.63 × 41,765.63
  4. Step 4: Simplify right side
    20,518.31x = 1,744,367,431.64
  5. Step 5: Solve for x
    x = 1,744,367,431.64/20,518.31
  6. Step 6: Final answer
    x = 85,015.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.