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Finding the Third Proportional to 411,682 and 642,420

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Solution

The third proportional to 411,682 and 642,420 is: 1,002,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,682 : 642,420 = 642,420 : x
  2. Step 2: Convert to fraction form
    411,682/642,420 = 642,420/x
  3. Step 3: Cross multiply
    411,682x = 642,420 × 642,420
  4. Step 4: Simplify right side
    411,682x = 412,703,456,400
  5. Step 5: Solve for x
    x = 412,703,456,400/411,682
  6. Step 6: Final answer
    x = 1,002,481.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.