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Finding the Third Proportional to 323,360 and 494,272

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Solution

The third proportional to 323,360 and 494,272 is: 755,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,360 : 494,272 = 494,272 : x
  2. Step 2: Convert to fraction form
    323,360/494,272 = 494,272/x
  3. Step 3: Cross multiply
    323,360x = 494,272 × 494,272
  4. Step 4: Simplify right side
    323,360x = 244,304,809,984
  5. Step 5: Solve for x
    x = 244,304,809,984/323,360
  6. Step 6: Final answer
    x = 755,519.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.