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Finding the Third Proportional to 30,256 and 39,876

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Solution

The third proportional to 30,256 and 39,876 is: 52,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256 : 39,876 = 39,876 : x
  2. Step 2: Convert to fraction form
    30,256/39,876 = 39,876/x
  3. Step 3: Cross multiply
    30,256x = 39,876 × 39,876
  4. Step 4: Simplify right side
    30,256x = 1,590,095,376
  5. Step 5: Solve for x
    x = 1,590,095,376/30,256
  6. Step 6: Final answer
    x = 52,554.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.