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Finding the Third Proportional to 66,903.75 and 146,928.38

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Solution

The third proportional to 66,903.75 and 146,928.38 is: 322,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,903.75 : 146,928.38 = 146,928.38 : x
  2. Step 2: Convert to fraction form
    66,903.75/146,928.38 = 146,928.38/x
  3. Step 3: Cross multiply
    66,903.75x = 146,928.38 × 146,928.38
  4. Step 4: Simplify right side
    66,903.75x = 21,587,947,380.14
  5. Step 5: Solve for x
    x = 21,587,947,380.14/66,903.75
  6. Step 6: Final answer
    x = 322,671.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.