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Finding the Third Proportional to 68,679 and 144,738

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Solution

The third proportional to 68,679 and 144,738 is: 305,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,679 : 144,738 = 144,738 : x
  2. Step 2: Convert to fraction form
    68,679/144,738 = 144,738/x
  3. Step 3: Cross multiply
    68,679x = 144,738 × 144,738
  4. Step 4: Simplify right side
    68,679x = 20,949,088,644
  5. Step 5: Solve for x
    x = 20,949,088,644/68,679
  6. Step 6: Final answer
    x = 305,029.03

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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.