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Finding the Third Proportional to 215,847 and 323,770

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Solution

The third proportional to 215,847 and 323,770 is: 485,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,847 : 323,770 = 323,770 : x
  2. Step 2: Convert to fraction form
    215,847/323,770 = 323,770/x
  3. Step 3: Cross multiply
    215,847x = 323,770 × 323,770
  4. Step 4: Simplify right side
    215,847x = 104,827,012,900
  5. Step 5: Solve for x
    x = 104,827,012,900/215,847
  6. Step 6: Final answer
    x = 485,654.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.