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Finding the Third Proportional to 214,638 and 339,794

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Solution

The third proportional to 214,638 and 339,794 is: 537,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,638 : 339,794 = 339,794 : x
  2. Step 2: Convert to fraction form
    214,638/339,794 = 339,794/x
  3. Step 3: Cross multiply
    214,638x = 339,794 × 339,794
  4. Step 4: Simplify right side
    214,638x = 115,459,962,436
  5. Step 5: Solve for x
    x = 115,459,962,436/214,638
  6. Step 6: Final answer
    x = 537,928.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.