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Finding the Third Proportional to 396,156 and 538,260

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Solution

The third proportional to 396,156 and 538,260 is: 731,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,156 : 538,260 = 538,260 : x
  2. Step 2: Convert to fraction form
    396,156/538,260 = 538,260/x
  3. Step 3: Cross multiply
    396,156x = 538,260 × 538,260
  4. Step 4: Simplify right side
    396,156x = 289,723,827,600
  5. Step 5: Solve for x
    x = 289,723,827,600/396,156
  6. Step 6: Final answer
    x = 731,337.72

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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.