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Finding the Third Proportional to 422,364 and 851,640

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Solution

The third proportional to 422,364 and 851,640 is: 1,717,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364 : 851,640 = 851,640 : x
  2. Step 2: Convert to fraction form
    422,364/851,640 = 851,640/x
  3. Step 3: Cross multiply
    422,364x = 851,640 × 851,640
  4. Step 4: Simplify right side
    422,364x = 725,290,689,600
  5. Step 5: Solve for x
    x = 725,290,689,600/422,364
  6. Step 6: Final answer
    x = 1,717,217.12

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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.