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Finding the Third Proportional to 66,198 and 141,872

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Solution

The third proportional to 66,198 and 141,872 is: 304,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,198 : 141,872 = 141,872 : x
  2. Step 2: Convert to fraction form
    66,198/141,872 = 141,872/x
  3. Step 3: Cross multiply
    66,198x = 141,872 × 141,872
  4. Step 4: Simplify right side
    66,198x = 20,127,664,384
  5. Step 5: Solve for x
    x = 20,127,664,384/66,198
  6. Step 6: Final answer
    x = 304,052.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.