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Finding the Third Proportional to 422,934 and 622,719

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Solution

The third proportional to 422,934 and 622,719 is: 916,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,934 : 622,719 = 622,719 : x
  2. Step 2: Convert to fraction form
    422,934/622,719 = 622,719/x
  3. Step 3: Cross multiply
    422,934x = 622,719 × 622,719
  4. Step 4: Simplify right side
    422,934x = 387,778,952,961
  5. Step 5: Solve for x
    x = 387,778,952,961/422,934
  6. Step 6: Final answer
    x = 916,878.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.