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Finding the Third Proportional to 518,446 and 800,637

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Solution

The third proportional to 518,446 and 800,637 is: 1,236,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,446 : 800,637 = 800,637 : x
  2. Step 2: Convert to fraction form
    518,446/800,637 = 800,637/x
  3. Step 3: Cross multiply
    518,446x = 800,637 × 800,637
  4. Step 4: Simplify right side
    518,446x = 641,019,605,769
  5. Step 5: Solve for x
    x = 641,019,605,769/518,446
  6. Step 6: Final answer
    x = 1,236,425.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.