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Finding the Third Proportional to 428,442 and 641,367

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Solution

The third proportional to 428,442 and 641,367 is: 960,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,442 : 641,367 = 641,367 : x
  2. Step 2: Convert to fraction form
    428,442/641,367 = 641,367/x
  3. Step 3: Cross multiply
    428,442x = 641,367 × 641,367
  4. Step 4: Simplify right side
    428,442x = 411,351,628,689
  5. Step 5: Solve for x
    x = 411,351,628,689/428,442
  6. Step 6: Final answer
    x = 960,110.42

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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.