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Finding the Third Proportional to 29,686 and 61,821

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Solution

The third proportional to 29,686 and 61,821 is: 128,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686 : 61,821 = 61,821 : x
  2. Step 2: Convert to fraction form
    29,686/61,821 = 61,821/x
  3. Step 3: Cross multiply
    29,686x = 61,821 × 61,821
  4. Step 4: Simplify right side
    29,686x = 3,821,836,041
  5. Step 5: Solve for x
    x = 3,821,836,041/29,686
  6. Step 6: Final answer
    x = 128,742.03

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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.