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Finding the Third Proportional to 146,206 and 220,389

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Solution

The third proportional to 146,206 and 220,389 is: 332,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,206 : 220,389 = 220,389 : x
  2. Step 2: Convert to fraction form
    146,206/220,389 = 220,389/x
  3. Step 3: Cross multiply
    146,206x = 220,389 × 220,389
  4. Step 4: Simplify right side
    146,206x = 48,571,311,321
  5. Step 5: Solve for x
    x = 48,571,311,321/146,206
  6. Step 6: Final answer
    x = 332,211.48

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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.