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Finding the Third Proportional to 143,448 and 315,204

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Solution

The third proportional to 143,448 and 315,204 is: 692,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,448 : 315,204 = 315,204 : x
  2. Step 2: Convert to fraction form
    143,448/315,204 = 315,204/x
  3. Step 3: Cross multiply
    143,448x = 315,204 × 315,204
  4. Step 4: Simplify right side
    143,448x = 99,353,561,616
  5. Step 5: Solve for x
    x = 99,353,561,616/143,448
  6. Step 6: Final answer
    x = 692,610.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.