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Finding the Third Proportional to 315,422 and 672,135

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Solution

The third proportional to 315,422 and 672,135 is: 1,432,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422 : 672,135 = 672,135 : x
  2. Step 2: Convert to fraction form
    315,422/672,135 = 672,135/x
  3. Step 3: Cross multiply
    315,422x = 672,135 × 672,135
  4. Step 4: Simplify right side
    315,422x = 451,765,458,225
  5. Step 5: Solve for x
    x = 451,765,458,225/315,422
  6. Step 6: Final answer
    x = 1,432,257.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.