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Finding the Third Proportional to 68,019 and 144,138

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Solution

The third proportional to 68,019 and 144,138 is: 305,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019 : 144,138 = 144,138 : x
  2. Step 2: Convert to fraction form
    68,019/144,138 = 144,138/x
  3. Step 3: Cross multiply
    68,019x = 144,138 × 144,138
  4. Step 4: Simplify right side
    68,019x = 20,775,763,044
  5. Step 5: Solve for x
    x = 20,775,763,044/68,019
  6. Step 6: Final answer
    x = 305,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.