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Finding the Third Proportional to 325,343 and 486,147

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Solution

The third proportional to 325,343 and 486,147 is: 726,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,343 : 486,147 = 486,147 : x
  2. Step 2: Convert to fraction form
    325,343/486,147 = 486,147/x
  3. Step 3: Cross multiply
    325,343x = 486,147 × 486,147
  4. Step 4: Simplify right side
    325,343x = 236,338,905,609
  5. Step 5: Solve for x
    x = 236,338,905,609/325,343
  6. Step 6: Final answer
    x = 726,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.