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Finding the Third Proportional to 68,206 and 103,686

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Solution

The third proportional to 68,206 and 103,686 is: 157,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,206 : 103,686 = 103,686 : x
  2. Step 2: Convert to fraction form
    68,206/103,686 = 103,686/x
  3. Step 3: Cross multiply
    68,206x = 103,686 × 103,686
  4. Step 4: Simplify right side
    68,206x = 10,750,786,596
  5. Step 5: Solve for x
    x = 10,750,786,596/68,206
  6. Step 6: Final answer
    x = 157,622.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.