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Finding the Third Proportional to 526,252 and 733,198

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Solution

The third proportional to 526,252 and 733,198 is: 1,021,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,252 : 733,198 = 733,198 : x
  2. Step 2: Convert to fraction form
    526,252/733,198 = 733,198/x
  3. Step 3: Cross multiply
    526,252x = 733,198 × 733,198
  4. Step 4: Simplify right side
    526,252x = 537,579,307,204
  5. Step 5: Solve for x
    x = 537,579,307,204/526,252
  6. Step 6: Final answer
    x = 1,021,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.