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Finding the Third Proportional to 397,200 and 851,254

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Solution

The third proportional to 397,200 and 851,254 is: 1,824,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,200 : 851,254 = 851,254 : x
  2. Step 2: Convert to fraction form
    397,200/851,254 = 851,254/x
  3. Step 3: Cross multiply
    397,200x = 851,254 × 851,254
  4. Step 4: Simplify right side
    397,200x = 724,633,372,516
  5. Step 5: Solve for x
    x = 724,633,372,516/397,200
  6. Step 6: Final answer
    x = 1,824,353.91

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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.