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Finding the Third Proportional to 143,900 and 225,243

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Solution

The third proportional to 143,900 and 225,243 is: 352,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,900 : 225,243 = 225,243 : x
  2. Step 2: Convert to fraction form
    143,900/225,243 = 225,243/x
  3. Step 3: Cross multiply
    143,900x = 225,243 × 225,243
  4. Step 4: Simplify right side
    143,900x = 50,734,409,049
  5. Step 5: Solve for x
    x = 50,734,409,049/143,900
  6. Step 6: Final answer
    x = 352,567.12

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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.