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Finding the Third Proportional to 422,365 and 851,642

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Solution

The third proportional to 422,365 and 851,642 is: 1,717,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,365 : 851,642 = 851,642 : x
  2. Step 2: Convert to fraction form
    422,365/851,642 = 851,642/x
  3. Step 3: Cross multiply
    422,365x = 851,642 × 851,642
  4. Step 4: Simplify right side
    422,365x = 725,294,096,164
  5. Step 5: Solve for x
    x = 725,294,096,164/422,365
  6. Step 6: Final answer
    x = 1,717,221.11

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.