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Finding the Third Proportional to 138,848 and 207,675

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Solution

The third proportional to 138,848 and 207,675 is: 310,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848 : 207,675 = 207,675 : x
  2. Step 2: Convert to fraction form
    138,848/207,675 = 207,675/x
  3. Step 3: Cross multiply
    138,848x = 207,675 × 207,675
  4. Step 4: Simplify right side
    138,848x = 43,128,905,625
  5. Step 5: Solve for x
    x = 43,128,905,625/138,848
  6. Step 6: Final answer
    x = 310,619.57

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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.