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Finding the Third Proportional to 211,689 and 324,279

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Solution

The third proportional to 211,689 and 324,279 is: 496,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,689 : 324,279 = 324,279 : x
  2. Step 2: Convert to fraction form
    211,689/324,279 = 324,279/x
  3. Step 3: Cross multiply
    211,689x = 324,279 × 324,279
  4. Step 4: Simplify right side
    211,689x = 105,156,869,841
  5. Step 5: Solve for x
    x = 105,156,869,841/211,689
  6. Step 6: Final answer
    x = 496,751.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.