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Finding the Third Proportional to 66,081 and 141,378

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Solution

The third proportional to 66,081 and 141,378 is: 302,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,081 : 141,378 = 141,378 : x
  2. Step 2: Convert to fraction form
    66,081/141,378 = 141,378/x
  3. Step 3: Cross multiply
    66,081x = 141,378 × 141,378
  4. Step 4: Simplify right side
    66,081x = 19,987,738,884
  5. Step 5: Solve for x
    x = 19,987,738,884/66,081
  6. Step 6: Final answer
    x = 302,473.31

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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.