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Finding the Third Proportional to 320,272 and 479,256

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Solution

The third proportional to 320,272 and 479,256 is: 717,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,272 : 479,256 = 479,256 : x
  2. Step 2: Convert to fraction form
    320,272/479,256 = 479,256/x
  3. Step 3: Cross multiply
    320,272x = 479,256 × 479,256
  4. Step 4: Simplify right side
    320,272x = 229,686,313,536
  5. Step 5: Solve for x
    x = 229,686,313,536/320,272
  6. Step 6: Final answer
    x = 717,160.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.