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Finding the Third Proportional to 127,638 and 211,991

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Solution

The third proportional to 127,638 and 211,991 is: 352,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,638 : 211,991 = 211,991 : x
  2. Step 2: Convert to fraction form
    127,638/211,991 = 211,991/x
  3. Step 3: Cross multiply
    127,638x = 211,991 × 211,991
  4. Step 4: Simplify right side
    127,638x = 44,940,184,081
  5. Step 5: Solve for x
    x = 44,940,184,081/127,638
  6. Step 6: Final answer
    x = 352,090.95

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.