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Finding the Third Proportional to 89,888 and 199,729

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Solution

The third proportional to 89,888 and 199,729 is: 443,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,888 : 199,729 = 199,729 : x
  2. Step 2: Convert to fraction form
    89,888/199,729 = 199,729/x
  3. Step 3: Cross multiply
    89,888x = 199,729 × 199,729
  4. Step 4: Simplify right side
    89,888x = 39,891,673,441
  5. Step 5: Solve for x
    x = 39,891,673,441/89,888
  6. Step 6: Final answer
    x = 443,793.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.