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Finding the Third Proportional to 15,515 and 23,975

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Solution

The third proportional to 15,515 and 23,975 is: 37,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515 : 23,975 = 23,975 : x
  2. Step 2: Convert to fraction form
    15,515/23,975 = 23,975/x
  3. Step 3: Cross multiply
    15,515x = 23,975 × 23,975
  4. Step 4: Simplify right side
    15,515x = 574,800,625
  5. Step 5: Solve for x
    x = 574,800,625/15,515
  6. Step 6: Final answer
    x = 37,048.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.