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Finding the Third Proportional to 68,691 and 144,864

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Solution

The third proportional to 68,691 and 144,864 is: 305,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,691 : 144,864 = 144,864 : x
  2. Step 2: Convert to fraction form
    68,691/144,864 = 144,864/x
  3. Step 3: Cross multiply
    68,691x = 144,864 × 144,864
  4. Step 4: Simplify right side
    68,691x = 20,985,578,496
  5. Step 5: Solve for x
    x = 20,985,578,496/68,691
  6. Step 6: Final answer
    x = 305,506.96

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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.