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Finding the Third Proportional to 30,757 and 39,301

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Solution

The third proportional to 30,757 and 39,301 is: 50,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757 : 39,301 = 39,301 : x
  2. Step 2: Convert to fraction form
    30,757/39,301 = 39,301/x
  3. Step 3: Cross multiply
    30,757x = 39,301 × 39,301
  4. Step 4: Simplify right side
    30,757x = 1,544,568,601
  5. Step 5: Solve for x
    x = 1,544,568,601/30,757
  6. Step 6: Final answer
    x = 50,218.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.