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Finding the Third Proportional to 68,186 and 145,849

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Solution

The third proportional to 68,186 and 145,849 is: 311,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,186 : 145,849 = 145,849 : x
  2. Step 2: Convert to fraction form
    68,186/145,849 = 145,849/x
  3. Step 3: Cross multiply
    68,186x = 145,849 × 145,849
  4. Step 4: Simplify right side
    68,186x = 21,271,930,801
  5. Step 5: Solve for x
    x = 21,271,930,801/68,186
  6. Step 6: Final answer
    x = 311,969.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.