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Finding the Third Proportional to 81,889 and 173,619

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Solution

The third proportional to 81,889 and 173,619 is: 368,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889 : 173,619 = 173,619 : x
  2. Step 2: Convert to fraction form
    81,889/173,619 = 173,619/x
  3. Step 3: Cross multiply
    81,889x = 173,619 × 173,619
  4. Step 4: Simplify right side
    81,889x = 30,143,557,161
  5. Step 5: Solve for x
    x = 30,143,557,161/81,889
  6. Step 6: Final answer
    x = 368,102.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.