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Finding the Third Proportional to 157,211 and 222,236

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Solution

The third proportional to 157,211 and 222,236 is: 314,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,211 : 222,236 = 222,236 : x
  2. Step 2: Convert to fraction form
    157,211/222,236 = 222,236/x
  3. Step 3: Cross multiply
    157,211x = 222,236 × 222,236
  4. Step 4: Simplify right side
    157,211x = 49,388,839,696
  5. Step 5: Solve for x
    x = 49,388,839,696/157,211
  6. Step 6: Final answer
    x = 314,156.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.