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Finding the Third Proportional to 149,622 and 220,005

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Solution

The third proportional to 149,622 and 220,005 is: 323,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,622 : 220,005 = 220,005 : x
  2. Step 2: Convert to fraction form
    149,622/220,005 = 220,005/x
  3. Step 3: Cross multiply
    149,622x = 220,005 × 220,005
  4. Step 4: Simplify right side
    149,622x = 48,402,200,025
  5. Step 5: Solve for x
    x = 48,402,200,025/149,622
  6. Step 6: Final answer
    x = 323,496.54

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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.