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Finding the Third Proportional to 211,653 and 324,222.75

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Solution

The third proportional to 211,653 and 324,222.75 is: 496,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,653 : 324,222.75 = 324,222.75 : x
  2. Step 2: Convert to fraction form
    211,653/324,222.75 = 324,222.75/x
  3. Step 3: Cross multiply
    211,653x = 324,222.75 × 324,222.75
  4. Step 4: Simplify right side
    211,653x = 105,120,391,617.56
  5. Step 5: Solve for x
    x = 105,120,391,617.56/211,653
  6. Step 6: Final answer
    x = 496,663.84

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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.