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Finding the Third Proportional to 138,836 and 207,660

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Solution

The third proportional to 138,836 and 207,660 is: 310,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,836 : 207,660 = 207,660 : x
  2. Step 2: Convert to fraction form
    138,836/207,660 = 207,660/x
  3. Step 3: Cross multiply
    138,836x = 207,660 × 207,660
  4. Step 4: Simplify right side
    138,836x = 43,122,675,600
  5. Step 5: Solve for x
    x = 43,122,675,600/138,836
  6. Step 6: Final answer
    x = 310,601.54

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