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Finding the Third Proportional to 438,568.50 and 656,067.75

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Solution

The third proportional to 438,568.50 and 656,067.75 is: 981,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,568.50 : 656,067.75 = 656,067.75 : x
  2. Step 2: Convert to fraction form
    438,568.50/656,067.75 = 656,067.75/x
  3. Step 3: Cross multiply
    438,568.50x = 656,067.75 × 656,067.75
  4. Step 4: Simplify right side
    438,568.50x = 430,424,892,590.06
  5. Step 5: Solve for x
    x = 430,424,892,590.06/438,568.50
  6. Step 6: Final answer
    x = 981,431.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.