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Finding the Third Proportional to 422,686 and 627,045

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Solution

The third proportional to 422,686 and 627,045 is: 930,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,686 : 627,045 = 627,045 : x
  2. Step 2: Convert to fraction form
    422,686/627,045 = 627,045/x
  3. Step 3: Cross multiply
    422,686x = 627,045 × 627,045
  4. Step 4: Simplify right side
    422,686x = 393,185,432,025
  5. Step 5: Solve for x
    x = 393,185,432,025/422,686
  6. Step 6: Final answer
    x = 930,206.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.