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Finding the Third Proportional to 81,208 and 174,512

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Solution

The third proportional to 81,208 and 174,512 is: 375,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,208 : 174,512 = 174,512 : x
  2. Step 2: Convert to fraction form
    81,208/174,512 = 174,512/x
  3. Step 3: Cross multiply
    81,208x = 174,512 × 174,512
  4. Step 4: Simplify right side
    81,208x = 30,454,438,144
  5. Step 5: Solve for x
    x = 30,454,438,144/81,208
  6. Step 6: Final answer
    x = 375,017.71

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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.