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Finding the Third Proportional to 62,921 and 128,049

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Solution

The third proportional to 62,921 and 128,049 is: 260,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,921 : 128,049 = 128,049 : x
  2. Step 2: Convert to fraction form
    62,921/128,049 = 128,049/x
  3. Step 3: Cross multiply
    62,921x = 128,049 × 128,049
  4. Step 4: Simplify right side
    62,921x = 16,396,546,401
  5. Step 5: Solve for x
    x = 16,396,546,401/62,921
  6. Step 6: Final answer
    x = 260,589.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.