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Finding the Third Proportional to 143,606 and 225,865

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Solution

The third proportional to 143,606 and 225,865 is: 355,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,606 : 225,865 = 225,865 : x
  2. Step 2: Convert to fraction form
    143,606/225,865 = 225,865/x
  3. Step 3: Cross multiply
    143,606x = 225,865 × 225,865
  4. Step 4: Simplify right side
    143,606x = 51,014,998,225
  5. Step 5: Solve for x
    x = 51,014,998,225/143,606
  6. Step 6: Final answer
    x = 355,242.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.