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Finding the Third Proportional to 422,369 and 851,650

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Solution

The third proportional to 422,369 and 851,650 is: 1,717,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,369 : 851,650 = 851,650 : x
  2. Step 2: Convert to fraction form
    422,369/851,650 = 851,650/x
  3. Step 3: Cross multiply
    422,369x = 851,650 × 851,650
  4. Step 4: Simplify right side
    422,369x = 725,307,722,500
  5. Step 5: Solve for x
    x = 725,307,722,500/422,369
  6. Step 6: Final answer
    x = 1,717,237.11

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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.