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Finding the Third Proportional to 69,738 and 105,258

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Solution

The third proportional to 69,738 and 105,258 is: 158,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,738 : 105,258 = 105,258 : x
  2. Step 2: Convert to fraction form
    69,738/105,258 = 105,258/x
  3. Step 3: Cross multiply
    69,738x = 105,258 × 105,258
  4. Step 4: Simplify right side
    69,738x = 11,079,246,564
  5. Step 5: Solve for x
    x = 11,079,246,564/69,738
  6. Step 6: Final answer
    x = 158,869.58

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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.