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Finding the Third Proportional to 62,939 and 128,794

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Solution

The third proportional to 62,939 and 128,794 is: 263,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,939 : 128,794 = 128,794 : x
  2. Step 2: Convert to fraction form
    62,939/128,794 = 128,794/x
  3. Step 3: Cross multiply
    62,939x = 128,794 × 128,794
  4. Step 4: Simplify right side
    62,939x = 16,587,894,436
  5. Step 5: Solve for x
    x = 16,587,894,436/62,939
  6. Step 6: Final answer
    x = 263,555.10

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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.