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Finding the Third Proportional to 68,863 and 145,991

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Solution

The third proportional to 68,863 and 145,991 is: 309,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,863 : 145,991 = 145,991 : x
  2. Step 2: Convert to fraction form
    68,863/145,991 = 145,991/x
  3. Step 3: Cross multiply
    68,863x = 145,991 × 145,991
  4. Step 4: Simplify right side
    68,863x = 21,313,372,081
  5. Step 5: Solve for x
    x = 21,313,372,081/68,863
  6. Step 6: Final answer
    x = 309,503.97

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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.