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Finding the Third Proportional to 218,379.38 and 462,999.38

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Solution

The third proportional to 218,379.38 and 462,999.38 is: 981,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,379.38 : 462,999.38 = 462,999.38 : x
  2. Step 2: Convert to fraction form
    218,379.38/462,999.38 = 462,999.38/x
  3. Step 3: Cross multiply
    218,379.38x = 462,999.38 × 462,999.38
  4. Step 4: Simplify right side
    218,379.38x = 214,368,421,250.39
  5. Step 5: Solve for x
    x = 214,368,421,250.39/218,379.38
  6. Step 6: Final answer
    x = 981,633.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.