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Finding the Third Proportional to 188,685 and 268,267.50

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Solution

The third proportional to 188,685 and 268,267.50 is: 381,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,685 : 268,267.50 = 268,267.50 : x
  2. Step 2: Convert to fraction form
    188,685/268,267.50 = 268,267.50/x
  3. Step 3: Cross multiply
    188,685x = 268,267.50 × 268,267.50
  4. Step 4: Simplify right side
    188,685x = 71,967,451,556.25
  5. Step 5: Solve for x
    x = 71,967,451,556.25/188,685
  6. Step 6: Final answer
    x = 381,415.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.