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Finding the Third Proportional to 68,683 and 144,869

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Solution

The third proportional to 68,683 and 144,869 is: 305,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,683 : 144,869 = 144,869 : x
  2. Step 2: Convert to fraction form
    68,683/144,869 = 144,869/x
  3. Step 3: Cross multiply
    68,683x = 144,869 × 144,869
  4. Step 4: Simplify right side
    68,683x = 20,987,027,161
  5. Step 5: Solve for x
    x = 20,987,027,161/68,683
  6. Step 6: Final answer
    x = 305,563.64

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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.