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Finding the Third Proportional to 81,169 and 176,918

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Solution

The third proportional to 81,169 and 176,918 is: 385,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169 : 176,918 = 176,918 : x
  2. Step 2: Convert to fraction form
    81,169/176,918 = 176,918/x
  3. Step 3: Cross multiply
    81,169x = 176,918 × 176,918
  4. Step 4: Simplify right side
    81,169x = 31,299,978,724
  5. Step 5: Solve for x
    x = 31,299,978,724/81,169
  6. Step 6: Final answer
    x = 385,614.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.