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Finding the Third Proportional to 518,628 and 699,149

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Solution

The third proportional to 518,628 and 699,149 is: 942,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,628 : 699,149 = 699,149 : x
  2. Step 2: Convert to fraction form
    518,628/699,149 = 699,149/x
  3. Step 3: Cross multiply
    518,628x = 699,149 × 699,149
  4. Step 4: Simplify right side
    518,628x = 488,809,324,201
  5. Step 5: Solve for x
    x = 488,809,324,201/518,628
  6. Step 6: Final answer
    x = 942,504.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.