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Finding the Third Proportional to 347,174 and 721,990

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Solution

The third proportional to 347,174 and 721,990 is: 1,501,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,174 : 721,990 = 721,990 : x
  2. Step 2: Convert to fraction form
    347,174/721,990 = 721,990/x
  3. Step 3: Cross multiply
    347,174x = 721,990 × 721,990
  4. Step 4: Simplify right side
    347,174x = 521,269,560,100
  5. Step 5: Solve for x
    x = 521,269,560,100/347,174
  6. Step 6: Final answer
    x = 1,501,464.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.