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Finding the Third Proportional to 100,166.50 and 204,043

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Solution

The third proportional to 100,166.50 and 204,043 is: 415,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.50 : 204,043 = 204,043 : x
  2. Step 2: Convert to fraction form
    100,166.50/204,043 = 204,043/x
  3. Step 3: Cross multiply
    100,166.50x = 204,043 × 204,043
  4. Step 4: Simplify right side
    100,166.50x = 41,633,545,849
  5. Step 5: Solve for x
    x = 41,633,545,849/100,166.50
  6. Step 6: Final answer
    x = 415,643.41

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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.