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Finding the Third Proportional to 139,322 and 203,151

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Solution

The third proportional to 139,322 and 203,151 is: 296,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,322 : 203,151 = 203,151 : x
  2. Step 2: Convert to fraction form
    139,322/203,151 = 203,151/x
  3. Step 3: Cross multiply
    139,322x = 203,151 × 203,151
  4. Step 4: Simplify right side
    139,322x = 41,270,328,801
  5. Step 5: Solve for x
    x = 41,270,328,801/139,322
  6. Step 6: Final answer
    x = 296,222.63

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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.