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Finding the Third Proportional to 81,814 and 179,243

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Solution

The third proportional to 81,814 and 179,243 is: 392,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814 : 179,243 = 179,243 : x
  2. Step 2: Convert to fraction form
    81,814/179,243 = 179,243/x
  3. Step 3: Cross multiply
    81,814x = 179,243 × 179,243
  4. Step 4: Simplify right side
    81,814x = 32,128,053,049
  5. Step 5: Solve for x
    x = 32,128,053,049/81,814
  6. Step 6: Final answer
    x = 392,696.28

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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.