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Finding the Third Proportional to 257,891 and 394,247

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Solution

The third proportional to 257,891 and 394,247 is: 602,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,891 : 394,247 = 394,247 : x
  2. Step 2: Convert to fraction form
    257,891/394,247 = 394,247/x
  3. Step 3: Cross multiply
    257,891x = 394,247 × 394,247
  4. Step 4: Simplify right side
    257,891x = 155,430,697,009
  5. Step 5: Solve for x
    x = 155,430,697,009/257,891
  6. Step 6: Final answer
    x = 602,699.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.