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Finding the Third Proportional to 396,158 and 538,263

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Solution

The third proportional to 396,158 and 538,263 is: 731,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,158 : 538,263 = 538,263 : x
  2. Step 2: Convert to fraction form
    396,158/538,263 = 538,263/x
  3. Step 3: Cross multiply
    396,158x = 538,263 × 538,263
  4. Step 4: Simplify right side
    396,158x = 289,727,057,169
  5. Step 5: Solve for x
    x = 289,727,057,169/396,158
  6. Step 6: Final answer
    x = 731,342.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.