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Finding the Third Proportional to 429,662 and 644,195

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Solution

The third proportional to 429,662 and 644,195 is: 965,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,662 : 644,195 = 644,195 : x
  2. Step 2: Convert to fraction form
    429,662/644,195 = 644,195/x
  3. Step 3: Cross multiply
    429,662x = 644,195 × 644,195
  4. Step 4: Simplify right side
    429,662x = 414,987,198,025
  5. Step 5: Solve for x
    x = 414,987,198,025/429,662
  6. Step 6: Final answer
    x = 965,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.