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Finding the Third Proportional to 256,862 and 340,923

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Solution

The third proportional to 256,862 and 340,923 is: 452,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,862 : 340,923 = 340,923 : x
  2. Step 2: Convert to fraction form
    256,862/340,923 = 340,923/x
  3. Step 3: Cross multiply
    256,862x = 340,923 × 340,923
  4. Step 4: Simplify right side
    256,862x = 116,228,491,929
  5. Step 5: Solve for x
    x = 116,228,491,929/256,862
  6. Step 6: Final answer
    x = 452,493.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.