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Finding the Third Proportional to 422,196 and 631,188

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Solution

The third proportional to 422,196 and 631,188 is: 943,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,196 : 631,188 = 631,188 : x
  2. Step 2: Convert to fraction form
    422,196/631,188 = 631,188/x
  3. Step 3: Cross multiply
    422,196x = 631,188 × 631,188
  4. Step 4: Simplify right side
    422,196x = 398,398,291,344
  5. Step 5: Solve for x
    x = 398,398,291,344/422,196
  6. Step 6: Final answer
    x = 943,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.