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Finding the Third Proportional to 84,361 and 178,202

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Solution

The third proportional to 84,361 and 178,202 is: 376,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,361 : 178,202 = 178,202 : x
  2. Step 2: Convert to fraction form
    84,361/178,202 = 178,202/x
  3. Step 3: Cross multiply
    84,361x = 178,202 × 178,202
  4. Step 4: Simplify right side
    84,361x = 31,755,952,804
  5. Step 5: Solve for x
    x = 31,755,952,804/84,361
  6. Step 6: Final answer
    x = 376,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.