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Finding the Third Proportional to 69,104 and 145,171

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Solution

The third proportional to 69,104 and 145,171 is: 304,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104 : 145,171 = 145,171 : x
  2. Step 2: Convert to fraction form
    69,104/145,171 = 145,171/x
  3. Step 3: Cross multiply
    69,104x = 145,171 × 145,171
  4. Step 4: Simplify right side
    69,104x = 21,074,619,241
  5. Step 5: Solve for x
    x = 21,074,619,241/69,104
  6. Step 6: Final answer
    x = 304,969.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.