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Finding the Third Proportional to 68,936 and 143,704

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Solution

The third proportional to 68,936 and 143,704 is: 299,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,936 : 143,704 = 143,704 : x
  2. Step 2: Convert to fraction form
    68,936/143,704 = 143,704/x
  3. Step 3: Cross multiply
    68,936x = 143,704 × 143,704
  4. Step 4: Simplify right side
    68,936x = 20,650,839,616
  5. Step 5: Solve for x
    x = 20,650,839,616/68,936
  6. Step 6: Final answer
    x = 299,565.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.