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Finding the Third Proportional to 69,104 and 143,400

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Solution

The third proportional to 69,104 and 143,400 is: 297,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104 : 143,400 = 143,400 : x
  2. Step 2: Convert to fraction form
    69,104/143,400 = 143,400/x
  3. Step 3: Cross multiply
    69,104x = 143,400 × 143,400
  4. Step 4: Simplify right side
    69,104x = 20,563,560,000
  5. Step 5: Solve for x
    x = 20,563,560,000/69,104
  6. Step 6: Final answer
    x = 297,574.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.