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Finding the Third Proportional to 64,939 and 139,589

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Solution

The third proportional to 64,939 and 139,589 is: 300,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939 : 139,589 = 139,589 : x
  2. Step 2: Convert to fraction form
    64,939/139,589 = 139,589/x
  3. Step 3: Cross multiply
    64,939x = 139,589 × 139,589
  4. Step 4: Simplify right side
    64,939x = 19,485,088,921
  5. Step 5: Solve for x
    x = 19,485,088,921/64,939
  6. Step 6: Final answer
    x = 300,052.19

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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.