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Finding the Third Proportional to 397,186 and 851,228

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Solution

The third proportional to 397,186 and 851,228 is: 1,824,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186 : 851,228 = 851,228 : x
  2. Step 2: Convert to fraction form
    397,186/851,228 = 851,228/x
  3. Step 3: Cross multiply
    397,186x = 851,228 × 851,228
  4. Step 4: Simplify right side
    397,186x = 724,589,107,984
  5. Step 5: Solve for x
    x = 724,589,107,984/397,186
  6. Step 6: Final answer
    x = 1,824,306.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.