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Finding the Third Proportional to 135,272 and 212,196

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Solution

The third proportional to 135,272 and 212,196 is: 332,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,272 : 212,196 = 212,196 : x
  2. Step 2: Convert to fraction form
    135,272/212,196 = 212,196/x
  3. Step 3: Cross multiply
    135,272x = 212,196 × 212,196
  4. Step 4: Simplify right side
    135,272x = 45,027,142,416
  5. Step 5: Solve for x
    x = 45,027,142,416/135,272
  6. Step 6: Final answer
    x = 332,863.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.