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Finding the Third Proportional to 10,121 and 15,323

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Solution

The third proportional to 10,121 and 15,323 is: 23,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121 : 15,323 = 15,323 : x
  2. Step 2: Convert to fraction form
    10,121/15,323 = 15,323/x
  3. Step 3: Cross multiply
    10,121x = 15,323 × 15,323
  4. Step 4: Simplify right side
    10,121x = 234,794,329
  5. Step 5: Solve for x
    x = 234,794,329/10,121
  6. Step 6: Final answer
    x = 23,198.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.