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Finding the Third Proportional to 127,863 and 269,205

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Solution

The third proportional to 127,863 and 269,205 is: 566,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,863 : 269,205 = 269,205 : x
  2. Step 2: Convert to fraction form
    127,863/269,205 = 269,205/x
  3. Step 3: Cross multiply
    127,863x = 269,205 × 269,205
  4. Step 4: Simplify right side
    127,863x = 72,471,332,025
  5. Step 5: Solve for x
    x = 72,471,332,025/127,863
  6. Step 6: Final answer
    x = 566,788.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.