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Finding the Third Proportional to 136,156 and 211,308

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Solution

The third proportional to 136,156 and 211,308 is: 327,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156 : 211,308 = 211,308 : x
  2. Step 2: Convert to fraction form
    136,156/211,308 = 211,308/x
  3. Step 3: Cross multiply
    136,156x = 211,308 × 211,308
  4. Step 4: Simplify right side
    136,156x = 44,651,070,864
  5. Step 5: Solve for x
    x = 44,651,070,864/136,156
  6. Step 6: Final answer
    x = 327,940.53

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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.