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Finding the Third Proportional to 81,144 and 174,771

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Solution

The third proportional to 81,144 and 174,771 is: 376,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,144 : 174,771 = 174,771 : x
  2. Step 2: Convert to fraction form
    81,144/174,771 = 174,771/x
  3. Step 3: Cross multiply
    81,144x = 174,771 × 174,771
  4. Step 4: Simplify right side
    81,144x = 30,544,902,441
  5. Step 5: Solve for x
    x = 30,544,902,441/81,144
  6. Step 6: Final answer
    x = 376,428.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.