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Finding the Third Proportional to 412,992 and 627,345

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Solution

The third proportional to 412,992 and 627,345 is: 952,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992 : 627,345 = 627,345 : x
  2. Step 2: Convert to fraction form
    412,992/627,345 = 627,345/x
  3. Step 3: Cross multiply
    412,992x = 627,345 × 627,345
  4. Step 4: Simplify right side
    412,992x = 393,561,749,025
  5. Step 5: Solve for x
    x = 393,561,749,025/412,992
  6. Step 6: Final answer
    x = 952,952.48

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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.