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Finding the Third Proportional to 422,967 and 915,630

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Solution

The third proportional to 422,967 and 915,630 is: 1,982,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,967 : 915,630 = 915,630 : x
  2. Step 2: Convert to fraction form
    422,967/915,630 = 915,630/x
  3. Step 3: Cross multiply
    422,967x = 915,630 × 915,630
  4. Step 4: Simplify right side
    422,967x = 838,378,296,900
  5. Step 5: Solve for x
    x = 838,378,296,900/422,967
  6. Step 6: Final answer
    x = 1,982,136.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.