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Finding the Third Proportional to 252,921 and 529,218

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Solution

The third proportional to 252,921 and 529,218 is: 1,107,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,921 : 529,218 = 529,218 : x
  2. Step 2: Convert to fraction form
    252,921/529,218 = 529,218/x
  3. Step 3: Cross multiply
    252,921x = 529,218 × 529,218
  4. Step 4: Simplify right side
    252,921x = 280,071,691,524
  5. Step 5: Solve for x
    x = 280,071,691,524/252,921
  6. Step 6: Final answer
    x = 1,107,348.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.