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Finding the Third Proportional to 151,939 and 221,245

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Solution

The third proportional to 151,939 and 221,245 is: 322,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,939 : 221,245 = 221,245 : x
  2. Step 2: Convert to fraction form
    151,939/221,245 = 221,245/x
  3. Step 3: Cross multiply
    151,939x = 221,245 × 221,245
  4. Step 4: Simplify right side
    151,939x = 48,949,350,025
  5. Step 5: Solve for x
    x = 48,949,350,025/151,939
  6. Step 6: Final answer
    x = 322,164.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.