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Finding the Third Proportional to 138,606 and 210,825

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Solution

The third proportional to 138,606 and 210,825 is: 320,672.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606 : 210,825 = 210,825 : x
  2. Step 2: Convert to fraction form
    138,606/210,825 = 210,825/x
  3. Step 3: Cross multiply
    138,606x = 210,825 × 210,825
  4. Step 4: Simplify right side
    138,606x = 44,447,180,625
  5. Step 5: Solve for x
    x = 44,447,180,625/138,606
  6. Step 6: Final answer
    x = 320,672.85

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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.