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Finding the Third Proportional to 19,746 and 43,494.75

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Solution

The third proportional to 19,746 and 43,494.75 is: 95,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746 : 43,494.75 = 43,494.75 : x
  2. Step 2: Convert to fraction form
    19,746/43,494.75 = 43,494.75/x
  3. Step 3: Cross multiply
    19,746x = 43,494.75 × 43,494.75
  4. Step 4: Simplify right side
    19,746x = 1,891,793,277.56
  5. Step 5: Solve for x
    x = 1,891,793,277.56/19,746
  6. Step 6: Final answer
    x = 95,806.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.