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Finding the Third Proportional to 146,218 and 220,408

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Solution

The third proportional to 146,218 and 220,408 is: 332,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218 : 220,408 = 220,408 : x
  2. Step 2: Convert to fraction form
    146,218/220,408 = 220,408/x
  3. Step 3: Cross multiply
    146,218x = 220,408 × 220,408
  4. Step 4: Simplify right side
    146,218x = 48,579,686,464
  5. Step 5: Solve for x
    x = 48,579,686,464/146,218
  6. Step 6: Final answer
    x = 332,241.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.