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Finding the Third Proportional to 146,921 and 218,221

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Solution

The third proportional to 146,921 and 218,221 is: 324,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,921 : 218,221 = 218,221 : x
  2. Step 2: Convert to fraction form
    146,921/218,221 = 218,221/x
  3. Step 3: Cross multiply
    146,921x = 218,221 × 218,221
  4. Step 4: Simplify right side
    146,921x = 47,620,404,841
  5. Step 5: Solve for x
    x = 47,620,404,841/146,921
  6. Step 6: Final answer
    x = 324,122.52

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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.