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Finding the Third Proportional to 89,843 and 190,639

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Solution

The third proportional to 89,843 and 190,639 is: 404,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,843 : 190,639 = 190,639 : x
  2. Step 2: Convert to fraction form
    89,843/190,639 = 190,639/x
  3. Step 3: Cross multiply
    89,843x = 190,639 × 190,639
  4. Step 4: Simplify right side
    89,843x = 36,343,228,321
  5. Step 5: Solve for x
    x = 36,343,228,321/89,843
  6. Step 6: Final answer
    x = 404,519.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.