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Finding the Third Proportional to 143,893.50 and 305,321.25

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Solution

The third proportional to 143,893.50 and 305,321.25 is: 647,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,893.50 : 305,321.25 = 305,321.25 : x
  2. Step 2: Convert to fraction form
    143,893.50/305,321.25 = 305,321.25/x
  3. Step 3: Cross multiply
    143,893.50x = 305,321.25 × 305,321.25
  4. Step 4: Simplify right side
    143,893.50x = 93,221,065,701.56
  5. Step 5: Solve for x
    x = 93,221,065,701.56/143,893.50
  6. Step 6: Final answer
    x = 647,847.65

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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.