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Finding the Third Proportional to 257,997 and 379,412

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Solution

The third proportional to 257,997 and 379,412 is: 557,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,997 : 379,412 = 379,412 : x
  2. Step 2: Convert to fraction form
    257,997/379,412 = 379,412/x
  3. Step 3: Cross multiply
    257,997x = 379,412 × 379,412
  4. Step 4: Simplify right side
    257,997x = 143,953,465,744
  5. Step 5: Solve for x
    x = 143,953,465,744/257,997
  6. Step 6: Final answer
    x = 557,965.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.