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Finding the Third Proportional to 151,211 and 222,435

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Solution

The third proportional to 151,211 and 222,435 is: 327,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,211 : 222,435 = 222,435 : x
  2. Step 2: Convert to fraction form
    151,211/222,435 = 222,435/x
  3. Step 3: Cross multiply
    151,211x = 222,435 × 222,435
  4. Step 4: Simplify right side
    151,211x = 49,477,329,225
  5. Step 5: Solve for x
    x = 49,477,329,225/151,211
  6. Step 6: Final answer
    x = 327,207.21

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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.