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Finding the Third Proportional to 43,409 and 89,851

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Solution

The third proportional to 43,409 and 89,851 is: 185,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,409 : 89,851 = 89,851 : x
  2. Step 2: Convert to fraction form
    43,409/89,851 = 89,851/x
  3. Step 3: Cross multiply
    43,409x = 89,851 × 89,851
  4. Step 4: Simplify right side
    43,409x = 8,073,202,201
  5. Step 5: Solve for x
    x = 8,073,202,201/43,409
  6. Step 6: Final answer
    x = 185,979.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.