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Finding the Third Proportional to 146,942 and 218,253

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Solution

The third proportional to 146,942 and 218,253 is: 324,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,942 : 218,253 = 218,253 : x
  2. Step 2: Convert to fraction form
    146,942/218,253 = 218,253/x
  3. Step 3: Cross multiply
    146,942x = 218,253 × 218,253
  4. Step 4: Simplify right side
    146,942x = 47,634,372,009
  5. Step 5: Solve for x
    x = 47,634,372,009/146,942
  6. Step 6: Final answer
    x = 324,171.25

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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.