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Finding the Third Proportional to 437,996 and 665,218

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Solution

The third proportional to 437,996 and 665,218 is: 1,010,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,996 : 665,218 = 665,218 : x
  2. Step 2: Convert to fraction form
    437,996/665,218 = 665,218/x
  3. Step 3: Cross multiply
    437,996x = 665,218 × 665,218
  4. Step 4: Simplify right side
    437,996x = 442,514,987,524
  5. Step 5: Solve for x
    x = 442,514,987,524/437,996
  6. Step 6: Final answer
    x = 1,010,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.