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Finding the Third Proportional to 81,173 and 179,863

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Solution

The third proportional to 81,173 and 179,863 is: 398,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,173 : 179,863 = 179,863 : x
  2. Step 2: Convert to fraction form
    81,173/179,863 = 179,863/x
  3. Step 3: Cross multiply
    81,173x = 179,863 × 179,863
  4. Step 4: Simplify right side
    81,173x = 32,350,698,769
  5. Step 5: Solve for x
    x = 32,350,698,769/81,173
  6. Step 6: Final answer
    x = 398,540.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.