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Finding the Third Proportional to 66,963 and 143,007.75

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Solution

The third proportional to 66,963 and 143,007.75 is: 305,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,963 : 143,007.75 = 143,007.75 : x
  2. Step 2: Convert to fraction form
    66,963/143,007.75 = 143,007.75/x
  3. Step 3: Cross multiply
    66,963x = 143,007.75 × 143,007.75
  4. Step 4: Simplify right side
    66,963x = 20,451,216,560.06
  5. Step 5: Solve for x
    x = 20,451,216,560.06/66,963
  6. Step 6: Final answer
    x = 305,410.70

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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.