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Finding the Third Proportional to 66,669 and 141,180.75

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Solution

The third proportional to 66,669 and 141,180.75 is: 298,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,669 : 141,180.75 = 141,180.75 : x
  2. Step 2: Convert to fraction form
    66,669/141,180.75 = 141,180.75/x
  3. Step 3: Cross multiply
    66,669x = 141,180.75 × 141,180.75
  4. Step 4: Simplify right side
    66,669x = 19,932,004,170.56
  5. Step 5: Solve for x
    x = 19,932,004,170.56/66,669
  6. Step 6: Final answer
    x = 298,969.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.