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Finding the Third Proportional to 136,288 and 211,296

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Solution

The third proportional to 136,288 and 211,296 is: 327,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,288 : 211,296 = 211,296 : x
  2. Step 2: Convert to fraction form
    136,288/211,296 = 211,296/x
  3. Step 3: Cross multiply
    136,288x = 211,296 × 211,296
  4. Step 4: Simplify right side
    136,288x = 44,645,999,616
  5. Step 5: Solve for x
    x = 44,645,999,616/136,288
  6. Step 6: Final answer
    x = 327,585.70

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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.