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Finding the Third Proportional to 157,206 and 222,229

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Solution

The third proportional to 157,206 and 222,229 is: 314,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,206 : 222,229 = 222,229 : x
  2. Step 2: Convert to fraction form
    157,206/222,229 = 222,229/x
  3. Step 3: Cross multiply
    157,206x = 222,229 × 222,229
  4. Step 4: Simplify right side
    157,206x = 49,385,728,441
  5. Step 5: Solve for x
    x = 49,385,728,441/157,206
  6. Step 6: Final answer
    x = 314,146.59

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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.