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Finding the Third Proportional to 84,170 and 178,726

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Solution

The third proportional to 84,170 and 178,726 is: 379,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,170 : 178,726 = 178,726 : x
  2. Step 2: Convert to fraction form
    84,170/178,726 = 178,726/x
  3. Step 3: Cross multiply
    84,170x = 178,726 × 178,726
  4. Step 4: Simplify right side
    84,170x = 31,942,983,076
  5. Step 5: Solve for x
    x = 31,942,983,076/84,170
  6. Step 6: Final answer
    x = 379,505.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.