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Finding the Third Proportional to 66,981.94 and 143,175.38

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Solution

The third proportional to 66,981.94 and 143,175.38 is: 306,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,981.94 : 143,175.38 = 143,175.38 : x
  2. Step 2: Convert to fraction form
    66,981.94/143,175.38 = 143,175.38/x
  3. Step 3: Cross multiply
    66,981.94x = 143,175.38 × 143,175.38
  4. Step 4: Simplify right side
    66,981.94x = 20,499,188,006.39
  5. Step 5: Solve for x
    x = 20,499,188,006.39/66,981.94
  6. Step 6: Final answer
    x = 306,040.54

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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.