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Finding the Third Proportional to 131,846 and 209,625

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Solution

The third proportional to 131,846 and 209,625 is: 333,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,846 : 209,625 = 209,625 : x
  2. Step 2: Convert to fraction form
    131,846/209,625 = 209,625/x
  3. Step 3: Cross multiply
    131,846x = 209,625 × 209,625
  4. Step 4: Simplify right side
    131,846x = 43,942,640,625
  5. Step 5: Solve for x
    x = 43,942,640,625/131,846
  6. Step 6: Final answer
    x = 333,287.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.