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Finding the Third Proportional to 64,065 and 140,198

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Solution

The third proportional to 64,065 and 140,198 is: 306,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,065 : 140,198 = 140,198 : x
  2. Step 2: Convert to fraction form
    64,065/140,198 = 140,198/x
  3. Step 3: Cross multiply
    64,065x = 140,198 × 140,198
  4. Step 4: Simplify right side
    64,065x = 19,655,479,204
  5. Step 5: Solve for x
    x = 19,655,479,204/64,065
  6. Step 6: Final answer
    x = 306,805.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.