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Finding the Third Proportional to 138,204 and 211,308

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Solution

The third proportional to 138,204 and 211,308 is: 323,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204 : 211,308 = 211,308 : x
  2. Step 2: Convert to fraction form
    138,204/211,308 = 211,308/x
  3. Step 3: Cross multiply
    138,204x = 211,308 × 211,308
  4. Step 4: Simplify right side
    138,204x = 44,651,070,864
  5. Step 5: Solve for x
    x = 44,651,070,864/138,204
  6. Step 6: Final answer
    x = 323,080.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.