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Finding the Third Proportional to 147,212 and 220,812

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Solution

The third proportional to 147,212 and 220,812 is: 331,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,212 : 220,812 = 220,812 : x
  2. Step 2: Convert to fraction form
    147,212/220,812 = 220,812/x
  3. Step 3: Cross multiply
    147,212x = 220,812 × 220,812
  4. Step 4: Simplify right side
    147,212x = 48,757,939,344
  5. Step 5: Solve for x
    x = 48,757,939,344/147,212
  6. Step 6: Final answer
    x = 331,209.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.