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Finding the Third Proportional to 397,186 and 851,230

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Solution

The third proportional to 397,186 and 851,230 is: 1,824,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186 : 851,230 = 851,230 : x
  2. Step 2: Convert to fraction form
    397,186/851,230 = 851,230/x
  3. Step 3: Cross multiply
    397,186x = 851,230 × 851,230
  4. Step 4: Simplify right side
    397,186x = 724,592,512,900
  5. Step 5: Solve for x
    x = 724,592,512,900/397,186
  6. Step 6: Final answer
    x = 1,824,315.34

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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.