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Finding the Third Proportional to 138,777 and 207,606

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Solution

The third proportional to 138,777 and 207,606 is: 310,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,777 : 207,606 = 207,606 : x
  2. Step 2: Convert to fraction form
    138,777/207,606 = 207,606/x
  3. Step 3: Cross multiply
    138,777x = 207,606 × 207,606
  4. Step 4: Simplify right side
    138,777x = 43,100,251,236
  5. Step 5: Solve for x
    x = 43,100,251,236/138,777
  6. Step 6: Final answer
    x = 310,572.01

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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.