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Finding the Third Proportional to 149,729 and 220,189

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Solution

The third proportional to 149,729 and 220,189 is: 323,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,729 : 220,189 = 220,189 : x
  2. Step 2: Convert to fraction form
    149,729/220,189 = 220,189/x
  3. Step 3: Cross multiply
    149,729x = 220,189 × 220,189
  4. Step 4: Simplify right side
    149,729x = 48,483,195,721
  5. Step 5: Solve for x
    x = 48,483,195,721/149,729
  6. Step 6: Final answer
    x = 323,806.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.