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Finding the Third Proportional to 396,465 and 638,370

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Solution

The third proportional to 396,465 and 638,370 is: 1,027,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,465 : 638,370 = 638,370 : x
  2. Step 2: Convert to fraction form
    396,465/638,370 = 638,370/x
  3. Step 3: Cross multiply
    396,465x = 638,370 × 638,370
  4. Step 4: Simplify right side
    396,465x = 407,516,256,900
  5. Step 5: Solve for x
    x = 407,516,256,900/396,465
  6. Step 6: Final answer
    x = 1,027,874.48

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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.