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Finding the Third Proportional to 257,296 and 395,924

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Solution

The third proportional to 257,296 and 395,924 is: 609,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,296 : 395,924 = 395,924 : x
  2. Step 2: Convert to fraction form
    257,296/395,924 = 395,924/x
  3. Step 3: Cross multiply
    257,296x = 395,924 × 395,924
  4. Step 4: Simplify right side
    257,296x = 156,755,813,776
  5. Step 5: Solve for x
    x = 156,755,813,776/257,296
  6. Step 6: Final answer
    x = 609,243.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.