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Finding the Third Proportional to 68,758 and 109,406

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Solution

The third proportional to 68,758 and 109,406 is: 174,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,758 : 109,406 = 109,406 : x
  2. Step 2: Convert to fraction form
    68,758/109,406 = 109,406/x
  3. Step 3: Cross multiply
    68,758x = 109,406 × 109,406
  4. Step 4: Simplify right side
    68,758x = 11,969,672,836
  5. Step 5: Solve for x
    x = 11,969,672,836/68,758
  6. Step 6: Final answer
    x = 174,084.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.