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Finding the Third Proportional to 188,022 and 287,987

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Solution

The third proportional to 188,022 and 287,987 is: 441,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,022 : 287,987 = 287,987 : x
  2. Step 2: Convert to fraction form
    188,022/287,987 = 287,987/x
  3. Step 3: Cross multiply
    188,022x = 287,987 × 287,987
  4. Step 4: Simplify right side
    188,022x = 82,936,512,169
  5. Step 5: Solve for x
    x = 82,936,512,169/188,022
  6. Step 6: Final answer
    x = 441,100.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.