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Finding the Third Proportional to 408,843 and 616,950

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Solution

The third proportional to 408,843 and 616,950 is: 930,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,843 : 616,950 = 616,950 : x
  2. Step 2: Convert to fraction form
    408,843/616,950 = 616,950/x
  3. Step 3: Cross multiply
    408,843x = 616,950 × 616,950
  4. Step 4: Simplify right side
    408,843x = 380,627,302,500
  5. Step 5: Solve for x
    x = 380,627,302,500/408,843
  6. Step 6: Final answer
    x = 930,986.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.