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Finding the Third Proportional to 26,138 and 39,975

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Solution

The third proportional to 26,138 and 39,975 is: 61,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 39,975 = 39,975 : x
  2. Step 2: Convert to fraction form
    26,138/39,975 = 39,975/x
  3. Step 3: Cross multiply
    26,138x = 39,975 × 39,975
  4. Step 4: Simplify right side
    26,138x = 1,598,000,625
  5. Step 5: Solve for x
    x = 1,598,000,625/26,138
  6. Step 6: Final answer
    x = 61,137.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.