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Finding the Third Proportional to 435,540.75 and 664,383

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Solution

The third proportional to 435,540.75 and 664,383 is: 1,013,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,540.75 : 664,383 = 664,383 : x
  2. Step 2: Convert to fraction form
    435,540.75/664,383 = 664,383/x
  3. Step 3: Cross multiply
    435,540.75x = 664,383 × 664,383
  4. Step 4: Simplify right side
    435,540.75x = 441,404,770,689
  5. Step 5: Solve for x
    x = 441,404,770,689/435,540.75
  6. Step 6: Final answer
    x = 1,013,463.77

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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.