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Finding the Third Proportional to 138,236.63 and 206,489.25

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Solution

The third proportional to 138,236.63 and 206,489.25 is: 308,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,236.63 : 206,489.25 = 206,489.25 : x
  2. Step 2: Convert to fraction form
    138,236.63/206,489.25 = 206,489.25/x
  3. Step 3: Cross multiply
    138,236.63x = 206,489.25 × 206,489.25
  4. Step 4: Simplify right side
    138,236.63x = 42,637,810,365.56
  5. Step 5: Solve for x
    x = 42,637,810,365.56/138,236.63
  6. Step 6: Final answer
    x = 308,440.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.