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Finding the Third Proportional to 30,800.75 and 66,202.75

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Solution

The third proportional to 30,800.75 and 66,202.75 is: 142,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.75 : 66,202.75 = 66,202.75 : x
  2. Step 2: Convert to fraction form
    30,800.75/66,202.75 = 66,202.75/x
  3. Step 3: Cross multiply
    30,800.75x = 66,202.75 × 66,202.75
  4. Step 4: Simplify right side
    30,800.75x = 4,382,804,107.56
  5. Step 5: Solve for x
    x = 4,382,804,107.56/30,800.75
  6. Step 6: Final answer
    x = 142,295.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.