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Finding the Third Proportional to 257,910 and 394,272

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Solution

The third proportional to 257,910 and 394,272 is: 602,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910 : 394,272 = 394,272 : x
  2. Step 2: Convert to fraction form
    257,910/394,272 = 394,272/x
  3. Step 3: Cross multiply
    257,910x = 394,272 × 394,272
  4. Step 4: Simplify right side
    257,910x = 155,450,409,984
  5. Step 5: Solve for x
    x = 155,450,409,984/257,910
  6. Step 6: Final answer
    x = 602,731.22

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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.