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Finding the Third Proportional to 178,450 and 269,187

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Solution

The third proportional to 178,450 and 269,187 is: 406,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,450 : 269,187 = 269,187 : x
  2. Step 2: Convert to fraction form
    178,450/269,187 = 269,187/x
  3. Step 3: Cross multiply
    178,450x = 269,187 × 269,187
  4. Step 4: Simplify right side
    178,450x = 72,461,640,969
  5. Step 5: Solve for x
    x = 72,461,640,969/178,450
  6. Step 6: Final answer
    x = 406,061.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.