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Finding the Third Proportional to 29,986 and 64,589

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Solution

The third proportional to 29,986 and 64,589 is: 139,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986 : 64,589 = 64,589 : x
  2. Step 2: Convert to fraction form
    29,986/64,589 = 64,589/x
  3. Step 3: Cross multiply
    29,986x = 64,589 × 64,589
  4. Step 4: Simplify right side
    29,986x = 4,171,738,921
  5. Step 5: Solve for x
    x = 4,171,738,921/29,986
  6. Step 6: Final answer
    x = 139,122.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.