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Finding the Third Proportional to 138,804 and 207,825

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Solution

The third proportional to 138,804 and 207,825 is: 311,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804 : 207,825 = 207,825 : x
  2. Step 2: Convert to fraction form
    138,804/207,825 = 207,825/x
  3. Step 3: Cross multiply
    138,804x = 207,825 × 207,825
  4. Step 4: Simplify right side
    138,804x = 43,191,230,625
  5. Step 5: Solve for x
    x = 43,191,230,625/138,804
  6. Step 6: Final answer
    x = 311,167.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.