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Finding the Third Proportional to 133,081 and 211,642

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Solution

The third proportional to 133,081 and 211,642 is: 336,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 211,642 = 211,642 : x
  2. Step 2: Convert to fraction form
    133,081/211,642 = 211,642/x
  3. Step 3: Cross multiply
    133,081x = 211,642 × 211,642
  4. Step 4: Simplify right side
    133,081x = 44,792,336,164
  5. Step 5: Solve for x
    x = 44,792,336,164/133,081
  6. Step 6: Final answer
    x = 336,579.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.