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Finding the Third Proportional to 81,896 and 177,616

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Solution

The third proportional to 81,896 and 177,616 is: 385,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896 : 177,616 = 177,616 : x
  2. Step 2: Convert to fraction form
    81,896/177,616 = 177,616/x
  3. Step 3: Cross multiply
    81,896x = 177,616 × 177,616
  4. Step 4: Simplify right side
    81,896x = 31,547,443,456
  5. Step 5: Solve for x
    x = 31,547,443,456/81,896
  6. Step 6: Final answer
    x = 385,213.48

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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.