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Finding the Third Proportional to 81,978 and 125,346

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Solution

The third proportional to 81,978 and 125,346 is: 191,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,978 : 125,346 = 125,346 : x
  2. Step 2: Convert to fraction form
    81,978/125,346 = 125,346/x
  3. Step 3: Cross multiply
    81,978x = 125,346 × 125,346
  4. Step 4: Simplify right side
    81,978x = 15,711,619,716
  5. Step 5: Solve for x
    x = 15,711,619,716/81,978
  6. Step 6: Final answer
    x = 191,656.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.