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Finding the Third Proportional to 68,389 and 108,201

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Solution

The third proportional to 68,389 and 108,201 is: 171,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,389 : 108,201 = 108,201 : x
  2. Step 2: Convert to fraction form
    68,389/108,201 = 108,201/x
  3. Step 3: Cross multiply
    68,389x = 108,201 × 108,201
  4. Step 4: Simplify right side
    68,389x = 11,707,456,401
  5. Step 5: Solve for x
    x = 11,707,456,401/68,389
  6. Step 6: Final answer
    x = 171,189.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.