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Finding the Third Proportional to 141,661 and 221,107.50

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Solution

The third proportional to 141,661 and 221,107.50 is: 345,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,661 : 221,107.50 = 221,107.50 : x
  2. Step 2: Convert to fraction form
    141,661/221,107.50 = 221,107.50/x
  3. Step 3: Cross multiply
    141,661x = 221,107.50 × 221,107.50
  4. Step 4: Simplify right side
    141,661x = 48,888,526,556.25
  5. Step 5: Solve for x
    x = 48,888,526,556.25/141,661
  6. Step 6: Final answer
    x = 345,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.