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Finding the Third Proportional to 422,358 and 851,628

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Solution

The third proportional to 422,358 and 851,628 is: 1,717,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,358 : 851,628 = 851,628 : x
  2. Step 2: Convert to fraction form
    422,358/851,628 = 851,628/x
  3. Step 3: Cross multiply
    422,358x = 851,628 × 851,628
  4. Step 4: Simplify right side
    422,358x = 725,270,250,384
  5. Step 5: Solve for x
    x = 725,270,250,384/422,358
  6. Step 6: Final answer
    x = 1,717,193.12

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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.