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Finding the Third Proportional to 69,104 and 143,128

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Solution

The third proportional to 69,104 and 143,128 is: 296,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104 : 143,128 = 143,128 : x
  2. Step 2: Convert to fraction form
    69,104/143,128 = 143,128/x
  3. Step 3: Cross multiply
    69,104x = 143,128 × 143,128
  4. Step 4: Simplify right side
    69,104x = 20,485,624,384
  5. Step 5: Solve for x
    x = 20,485,624,384/69,104
  6. Step 6: Final answer
    x = 296,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.