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Finding the Third Proportional to 189,945 and 275,157

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Solution

The third proportional to 189,945 and 275,157 is: 398,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,945 : 275,157 = 275,157 : x
  2. Step 2: Convert to fraction form
    189,945/275,157 = 275,157/x
  3. Step 3: Cross multiply
    189,945x = 275,157 × 275,157
  4. Step 4: Simplify right side
    189,945x = 75,711,374,649
  5. Step 5: Solve for x
    x = 75,711,374,649/189,945
  6. Step 6: Final answer
    x = 398,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.