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Finding the Third Proportional to 269,072 and 421,176

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Solution

The third proportional to 269,072 and 421,176 is: 659,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,072 : 421,176 = 421,176 : x
  2. Step 2: Convert to fraction form
    269,072/421,176 = 421,176/x
  3. Step 3: Cross multiply
    269,072x = 421,176 × 421,176
  4. Step 4: Simplify right side
    269,072x = 177,389,222,976
  5. Step 5: Solve for x
    x = 177,389,222,976/269,072
  6. Step 6: Final answer
    x = 659,263.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.