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Finding the Third Proportional to 69,719 and 105,234

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Solution

The third proportional to 69,719 and 105,234 is: 158,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,719 : 105,234 = 105,234 : x
  2. Step 2: Convert to fraction form
    69,719/105,234 = 105,234/x
  3. Step 3: Cross multiply
    69,719x = 105,234 × 105,234
  4. Step 4: Simplify right side
    69,719x = 11,074,194,756
  5. Step 5: Solve for x
    x = 11,074,194,756/69,719
  6. Step 6: Final answer
    x = 158,840.41

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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.