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Finding the Third Proportional to 518,444 and 800,634

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Solution

The third proportional to 518,444 and 800,634 is: 1,236,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,444 : 800,634 = 800,634 : x
  2. Step 2: Convert to fraction form
    518,444/800,634 = 800,634/x
  3. Step 3: Cross multiply
    518,444x = 800,634 × 800,634
  4. Step 4: Simplify right side
    518,444x = 641,014,801,956
  5. Step 5: Solve for x
    x = 641,014,801,956/518,444
  6. Step 6: Final answer
    x = 1,236,420.52

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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.