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Finding the Third Proportional to 20,904.75 and 43,540.50

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Solution

The third proportional to 20,904.75 and 43,540.50 is: 90,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.75 : 43,540.50 = 43,540.50 : x
  2. Step 2: Convert to fraction form
    20,904.75/43,540.50 = 43,540.50/x
  3. Step 3: Cross multiply
    20,904.75x = 43,540.50 × 43,540.50
  4. Step 4: Simplify right side
    20,904.75x = 1,895,775,140.25
  5. Step 5: Solve for x
    x = 1,895,775,140.25/20,904.75
  6. Step 6: Final answer
    x = 90,686.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.