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Finding the Third Proportional to 143,247 and 315,087

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Solution

The third proportional to 143,247 and 315,087 is: 693,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,247 : 315,087 = 315,087 : x
  2. Step 2: Convert to fraction form
    143,247/315,087 = 315,087/x
  3. Step 3: Cross multiply
    143,247x = 315,087 × 315,087
  4. Step 4: Simplify right side
    143,247x = 99,279,817,569
  5. Step 5: Solve for x
    x = 99,279,817,569/143,247
  6. Step 6: Final answer
    x = 693,067.34

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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.