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Finding the Third Proportional to 11,339 and 18,739

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Solution

The third proportional to 11,339 and 18,739 is: 30,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339 : 18,739 = 18,739 : x
  2. Step 2: Convert to fraction form
    11,339/18,739 = 18,739/x
  3. Step 3: Cross multiply
    11,339x = 18,739 × 18,739
  4. Step 4: Simplify right side
    11,339x = 351,150,121
  5. Step 5: Solve for x
    x = 351,150,121/11,339
  6. Step 6: Final answer
    x = 30,968.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.