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Finding the Third Proportional to 396,042 and 538,101

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Solution

The third proportional to 396,042 and 538,101 is: 731,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,042 : 538,101 = 538,101 : x
  2. Step 2: Convert to fraction form
    396,042/538,101 = 538,101/x
  3. Step 3: Cross multiply
    396,042x = 538,101 × 538,101
  4. Step 4: Simplify right side
    396,042x = 289,552,686,201
  5. Step 5: Solve for x
    x = 289,552,686,201/396,042
  6. Step 6: Final answer
    x = 731,116.11

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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.