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Finding the Third Proportional to 178,436 and 269,166

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Solution

The third proportional to 178,436 and 269,166 is: 406,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,436 : 269,166 = 269,166 : x
  2. Step 2: Convert to fraction form
    178,436/269,166 = 269,166/x
  3. Step 3: Cross multiply
    178,436x = 269,166 × 269,166
  4. Step 4: Simplify right side
    178,436x = 72,450,335,556
  5. Step 5: Solve for x
    x = 72,450,335,556/178,436
  6. Step 6: Final answer
    x = 406,029.81

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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.