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Finding the Third Proportional to 168,212 and 257,576

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Solution

The third proportional to 168,212 and 257,576 is: 394,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,212 : 257,576 = 257,576 : x
  2. Step 2: Convert to fraction form
    168,212/257,576 = 257,576/x
  3. Step 3: Cross multiply
    168,212x = 257,576 × 257,576
  4. Step 4: Simplify right side
    168,212x = 66,345,395,776
  5. Step 5: Solve for x
    x = 66,345,395,776/168,212
  6. Step 6: Final answer
    x = 394,415.36

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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.