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Finding the Third Proportional to 205,886 and 312,825

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Solution

The third proportional to 205,886 and 312,825 is: 475,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,886 : 312,825 = 312,825 : x
  2. Step 2: Convert to fraction form
    205,886/312,825 = 312,825/x
  3. Step 3: Cross multiply
    205,886x = 312,825 × 312,825
  4. Step 4: Simplify right side
    205,886x = 97,859,480,625
  5. Step 5: Solve for x
    x = 97,859,480,625/205,886
  6. Step 6: Final answer
    x = 475,309.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.