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Finding the Third Proportional to 239,678 and 522,256

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Solution

The third proportional to 239,678 and 522,256 is: 1,137,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,678 : 522,256 = 522,256 : x
  2. Step 2: Convert to fraction form
    239,678/522,256 = 522,256/x
  3. Step 3: Cross multiply
    239,678x = 522,256 × 522,256
  4. Step 4: Simplify right side
    239,678x = 272,751,329,536
  5. Step 5: Solve for x
    x = 272,751,329,536/239,678
  6. Step 6: Final answer
    x = 1,137,990.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.