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Finding the Third Proportional to 415,766 and 627,393

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Solution

The third proportional to 415,766 and 627,393 is: 946,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,766 : 627,393 = 627,393 : x
  2. Step 2: Convert to fraction form
    415,766/627,393 = 627,393/x
  3. Step 3: Cross multiply
    415,766x = 627,393 × 627,393
  4. Step 4: Simplify right side
    415,766x = 393,621,976,449
  5. Step 5: Solve for x
    x = 393,621,976,449/415,766
  6. Step 6: Final answer
    x = 946,739.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.