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Finding the Third Proportional to 69,796 and 143,288

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Solution

The third proportional to 69,796 and 143,288 is: 294,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,796 : 143,288 = 143,288 : x
  2. Step 2: Convert to fraction form
    69,796/143,288 = 143,288/x
  3. Step 3: Cross multiply
    69,796x = 143,288 × 143,288
  4. Step 4: Simplify right side
    69,796x = 20,531,450,944
  5. Step 5: Solve for x
    x = 20,531,450,944/69,796
  6. Step 6: Final answer
    x = 294,163.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.