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Finding the Third Proportional to 143,435 and 312,204

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Solution

The third proportional to 143,435 and 312,204 is: 679,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,435 : 312,204 = 312,204 : x
  2. Step 2: Convert to fraction form
    143,435/312,204 = 312,204/x
  3. Step 3: Cross multiply
    143,435x = 312,204 × 312,204
  4. Step 4: Simplify right side
    143,435x = 97,471,337,616
  5. Step 5: Solve for x
    x = 97,471,337,616/143,435
  6. Step 6: Final answer
    x = 679,550.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.