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Finding the Third Proportional to 103,691 and 146,120

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Solution

The third proportional to 103,691 and 146,120 is: 205,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 146,120 = 146,120 : x
  2. Step 2: Convert to fraction form
    103,691/146,120 = 146,120/x
  3. Step 3: Cross multiply
    103,691x = 146,120 × 146,120
  4. Step 4: Simplify right side
    103,691x = 21,351,054,400
  5. Step 5: Solve for x
    x = 21,351,054,400/103,691
  6. Step 6: Final answer
    x = 205,910.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.