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Finding the Third Proportional to 131,620 and 211,963

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Solution

The third proportional to 131,620 and 211,963 is: 341,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,620 : 211,963 = 211,963 : x
  2. Step 2: Convert to fraction form
    131,620/211,963 = 211,963/x
  3. Step 3: Cross multiply
    131,620x = 211,963 × 211,963
  4. Step 4: Simplify right side
    131,620x = 44,928,313,369
  5. Step 5: Solve for x
    x = 44,928,313,369/131,620
  6. Step 6: Final answer
    x = 341,348.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.