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Finding the Third Proportional to 135,972 and 211,065

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Solution

The third proportional to 135,972 and 211,065 is: 327,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972 : 211,065 = 211,065 : x
  2. Step 2: Convert to fraction form
    135,972/211,065 = 211,065/x
  3. Step 3: Cross multiply
    135,972x = 211,065 × 211,065
  4. Step 4: Simplify right side
    135,972x = 44,548,434,225
  5. Step 5: Solve for x
    x = 44,548,434,225/135,972
  6. Step 6: Final answer
    x = 327,629.47

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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.