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Finding the Third Proportional to 68,908 and 103,902

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Solution

The third proportional to 68,908 and 103,902 is: 156,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,908 : 103,902 = 103,902 : x
  2. Step 2: Convert to fraction form
    68,908/103,902 = 103,902/x
  3. Step 3: Cross multiply
    68,908x = 103,902 × 103,902
  4. Step 4: Simplify right side
    68,908x = 10,795,625,604
  5. Step 5: Solve for x
    x = 10,795,625,604/68,908
  6. Step 6: Final answer
    x = 156,667.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.