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Finding the Third Proportional to 138,840.75 and 206,435.25

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Solution

The third proportional to 138,840.75 and 206,435.25 is: 306,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.75 : 206,435.25 = 206,435.25 : x
  2. Step 2: Convert to fraction form
    138,840.75/206,435.25 = 206,435.25/x
  3. Step 3: Cross multiply
    138,840.75x = 206,435.25 × 206,435.25
  4. Step 4: Simplify right side
    138,840.75x = 42,615,512,442.56
  5. Step 5: Solve for x
    x = 42,615,512,442.56/138,840.75
  6. Step 6: Final answer
    x = 306,938.07

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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.