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Finding the Third Proportional to 518,408 and 800,580

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Solution

The third proportional to 518,408 and 800,580 is: 1,236,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,408 : 800,580 = 800,580 : x
  2. Step 2: Convert to fraction form
    518,408/800,580 = 800,580/x
  3. Step 3: Cross multiply
    518,408x = 800,580 × 800,580
  4. Step 4: Simplify right side
    518,408x = 640,928,336,400
  5. Step 5: Solve for x
    x = 640,928,336,400/518,408
  6. Step 6: Final answer
    x = 1,236,339.59

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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.