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Finding the Third Proportional to 127,801 and 268,823

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Solution

The third proportional to 127,801 and 268,823 is: 565,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,801 : 268,823 = 268,823 : x
  2. Step 2: Convert to fraction form
    127,801/268,823 = 268,823/x
  3. Step 3: Cross multiply
    127,801x = 268,823 × 268,823
  4. Step 4: Simplify right side
    127,801x = 72,265,805,329
  5. Step 5: Solve for x
    x = 72,265,805,329/127,801
  6. Step 6: Final answer
    x = 565,455.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.