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Finding the Third Proportional to 143,731 and 305,606

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Solution

The third proportional to 143,731 and 305,606 is: 649,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731 : 305,606 = 305,606 : x
  2. Step 2: Convert to fraction form
    143,731/305,606 = 305,606/x
  3. Step 3: Cross multiply
    143,731x = 305,606 × 305,606
  4. Step 4: Simplify right side
    143,731x = 93,395,027,236
  5. Step 5: Solve for x
    x = 93,395,027,236/143,731
  6. Step 6: Final answer
    x = 649,790.42

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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.