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Finding the Third Proportional to 324,558 and 474,279

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Solution

The third proportional to 324,558 and 474,279 is: 693,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,558 : 474,279 = 474,279 : x
  2. Step 2: Convert to fraction form
    324,558/474,279 = 474,279/x
  3. Step 3: Cross multiply
    324,558x = 474,279 × 474,279
  4. Step 4: Simplify right side
    324,558x = 224,940,569,841
  5. Step 5: Solve for x
    x = 224,940,569,841/324,558
  6. Step 6: Final answer
    x = 693,067.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.