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Finding the Third Proportional to 403,934 and 851,606

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Solution

The third proportional to 403,934 and 851,606 is: 1,795,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,934 : 851,606 = 851,606 : x
  2. Step 2: Convert to fraction form
    403,934/851,606 = 851,606/x
  3. Step 3: Cross multiply
    403,934x = 851,606 × 851,606
  4. Step 4: Simplify right side
    403,934x = 725,232,779,236
  5. Step 5: Solve for x
    x = 725,232,779,236/403,934
  6. Step 6: Final answer
    x = 1,795,423.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.