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Finding the Third Proportional to 381,778 and 829,172

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Solution

The third proportional to 381,778 and 829,172 is: 1,800,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,778 : 829,172 = 829,172 : x
  2. Step 2: Convert to fraction form
    381,778/829,172 = 829,172/x
  3. Step 3: Cross multiply
    381,778x = 829,172 × 829,172
  4. Step 4: Simplify right side
    381,778x = 687,526,205,584
  5. Step 5: Solve for x
    x = 687,526,205,584/381,778
  6. Step 6: Final answer
    x = 1,800,853.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.