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Finding the Third Proportional to 103,696 and 211,765

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Solution

The third proportional to 103,696 and 211,765 is: 432,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696 : 211,765 = 211,765 : x
  2. Step 2: Convert to fraction form
    103,696/211,765 = 211,765/x
  3. Step 3: Cross multiply
    103,696x = 211,765 × 211,765
  4. Step 4: Simplify right side
    103,696x = 44,844,415,225
  5. Step 5: Solve for x
    x = 44,844,415,225/103,696
  6. Step 6: Final answer
    x = 432,460.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.