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Finding the Third Proportional to 81,838 and 179,291

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Solution

The third proportional to 81,838 and 179,291 is: 392,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838 : 179,291 = 179,291 : x
  2. Step 2: Convert to fraction form
    81,838/179,291 = 179,291/x
  3. Step 3: Cross multiply
    81,838x = 179,291 × 179,291
  4. Step 4: Simplify right side
    81,838x = 32,145,262,681
  5. Step 5: Solve for x
    x = 32,145,262,681/81,838
  6. Step 6: Final answer
    x = 392,791.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.