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Finding the Third Proportional to 81,876 and 177,768

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Solution

The third proportional to 81,876 and 177,768 is: 385,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876 : 177,768 = 177,768 : x
  2. Step 2: Convert to fraction form
    81,876/177,768 = 177,768/x
  3. Step 3: Cross multiply
    81,876x = 177,768 × 177,768
  4. Step 4: Simplify right side
    81,876x = 31,601,461,824
  5. Step 5: Solve for x
    x = 31,601,461,824/81,876
  6. Step 6: Final answer
    x = 385,967.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.