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Finding the Third Proportional to 396,464 and 638,368

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Solution

The third proportional to 396,464 and 638,368 is: 1,027,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,464 : 638,368 = 638,368 : x
  2. Step 2: Convert to fraction form
    396,464/638,368 = 638,368/x
  3. Step 3: Cross multiply
    396,464x = 638,368 × 638,368
  4. Step 4: Simplify right side
    396,464x = 407,513,703,424
  5. Step 5: Solve for x
    x = 407,513,703,424/396,464
  6. Step 6: Final answer
    x = 1,027,870.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.