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Finding the Third Proportional to 68,708 and 144,924

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Solution

The third proportional to 68,708 and 144,924 is: 305,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,708 : 144,924 = 144,924 : x
  2. Step 2: Convert to fraction form
    68,708/144,924 = 144,924/x
  3. Step 3: Cross multiply
    68,708x = 144,924 × 144,924
  4. Step 4: Simplify right side
    68,708x = 21,002,965,776
  5. Step 5: Solve for x
    x = 21,002,965,776/68,708
  6. Step 6: Final answer
    x = 305,684.43

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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.