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Finding the Third Proportional to 137,796 and 212,936

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Solution

The third proportional to 137,796 and 212,936 is: 329,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,796 : 212,936 = 212,936 : x
  2. Step 2: Convert to fraction form
    137,796/212,936 = 212,936/x
  3. Step 3: Cross multiply
    137,796x = 212,936 × 212,936
  4. Step 4: Simplify right side
    137,796x = 45,341,740,096
  5. Step 5: Solve for x
    x = 45,341,740,096/137,796
  6. Step 6: Final answer
    x = 329,049.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.