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Finding the Third Proportional to 312,123.80 and 422,976.09

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Solution

The third proportional to 312,123.80 and 422,976.09 is: 573,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,123.80 : 422,976.09 = 422,976.09 : x
  2. Step 2: Convert to fraction form
    312,123.80/422,976.09 = 422,976.09/x
  3. Step 3: Cross multiply
    312,123.80x = 422,976.09 × 422,976.09
  4. Step 4: Simplify right side
    312,123.80x = 178,908,775,884.01
  5. Step 5: Solve for x
    x = 178,908,775,884.01/312,123.80
  6. Step 6: Final answer
    x = 573,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.