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Finding the Third Proportional to 214,469 and 423,554

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Solution

The third proportional to 214,469 and 423,554 is: 836,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469 : 423,554 = 423,554 : x
  2. Step 2: Convert to fraction form
    214,469/423,554 = 423,554/x
  3. Step 3: Cross multiply
    214,469x = 423,554 × 423,554
  4. Step 4: Simplify right side
    214,469x = 179,397,990,916
  5. Step 5: Solve for x
    x = 179,397,990,916/214,469
  6. Step 6: Final answer
    x = 836,475.16

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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.