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Finding the Third Proportional to 143,739.75 and 305,916.75

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Solution

The third proportional to 143,739.75 and 305,916.75 is: 651,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,739.75 : 305,916.75 = 305,916.75 : x
  2. Step 2: Convert to fraction form
    143,739.75/305,916.75 = 305,916.75/x
  3. Step 3: Cross multiply
    143,739.75x = 305,916.75 × 305,916.75
  4. Step 4: Simplify right side
    143,739.75x = 93,585,057,930.56
  5. Step 5: Solve for x
    x = 93,585,057,930.56/143,739.75
  6. Step 6: Final answer
    x = 651,072.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.