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Finding the Third Proportional to 214,626 and 423,847

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Solution

The third proportional to 214,626 and 423,847 is: 837,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 423,847 = 423,847 : x
  2. Step 2: Convert to fraction form
    214,626/423,847 = 423,847/x
  3. Step 3: Cross multiply
    214,626x = 423,847 × 423,847
  4. Step 4: Simplify right side
    214,626x = 179,646,279,409
  5. Step 5: Solve for x
    x = 179,646,279,409/214,626
  6. Step 6: Final answer
    x = 837,020.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.