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Finding the Third Proportional to 214,627 and 423,849

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Solution

The third proportional to 214,627 and 423,849 is: 837,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,627 : 423,849 = 423,849 : x
  2. Step 2: Convert to fraction form
    214,627/423,849 = 423,849/x
  3. Step 3: Cross multiply
    214,627x = 423,849 × 423,849
  4. Step 4: Simplify right side
    214,627x = 179,647,974,801
  5. Step 5: Solve for x
    x = 179,647,974,801/214,627
  6. Step 6: Final answer
    x = 837,024.12

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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.