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Finding the Third Proportional to 257,448 and 397,848

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Solution

The third proportional to 257,448 and 397,848 is: 614,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,448 : 397,848 = 397,848 : x
  2. Step 2: Convert to fraction form
    257,448/397,848 = 397,848/x
  3. Step 3: Cross multiply
    257,448x = 397,848 × 397,848
  4. Step 4: Simplify right side
    257,448x = 158,283,031,104
  5. Step 5: Solve for x
    x = 158,283,031,104/257,448
  6. Step 6: Final answer
    x = 614,815.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.