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Finding the Third Proportional to 218,212 and 296,212

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Solution

The third proportional to 218,212 and 296,212 is: 402,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,212 : 296,212 = 296,212 : x
  2. Step 2: Convert to fraction form
    218,212/296,212 = 296,212/x
  3. Step 3: Cross multiply
    218,212x = 296,212 × 296,212
  4. Step 4: Simplify right side
    218,212x = 87,741,548,944
  5. Step 5: Solve for x
    x = 87,741,548,944/218,212
  6. Step 6: Final answer
    x = 402,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.