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Finding the Third Proportional to 397,182 and 851,220

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Solution

The third proportional to 397,182 and 851,220 is: 1,824,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,182 : 851,220 = 851,220 : x
  2. Step 2: Convert to fraction form
    397,182/851,220 = 851,220/x
  3. Step 3: Cross multiply
    397,182x = 851,220 × 851,220
  4. Step 4: Simplify right side
    397,182x = 724,575,488,400
  5. Step 5: Solve for x
    x = 724,575,488,400/397,182
  6. Step 6: Final answer
    x = 1,824,290.85

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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.