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Finding the Third Proportional to 8,427.16 and 18,169.00

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Solution

The third proportional to 8,427.16 and 18,169.00 is: 39,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.16 : 18,169.00 = 18,169.00 : x
  2. Step 2: Convert to fraction form
    8,427.16/18,169.00 = 18,169.00/x
  3. Step 3: Cross multiply
    8,427.16x = 18,169.00 × 18,169.00
  4. Step 4: Simplify right side
    8,427.16x = 330,112,419.05
  5. Step 5: Solve for x
    x = 330,112,419.05/8,427.16
  6. Step 6: Final answer
    x = 39,172.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.