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Finding the Third Proportional to 256,856 and 340,822

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Solution

The third proportional to 256,856 and 340,822 is: 452,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856 : 340,822 = 340,822 : x
  2. Step 2: Convert to fraction form
    256,856/340,822 = 340,822/x
  3. Step 3: Cross multiply
    256,856x = 340,822 × 340,822
  4. Step 4: Simplify right side
    256,856x = 116,159,635,684
  5. Step 5: Solve for x
    x = 116,159,635,684/256,856
  6. Step 6: Final answer
    x = 452,236.41

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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.