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Finding the Third Proportional to 15,122 and 36,509

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Solution

The third proportional to 15,122 and 36,509 is: 88,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122 : 36,509 = 36,509 : x
  2. Step 2: Convert to fraction form
    15,122/36,509 = 36,509/x
  3. Step 3: Cross multiply
    15,122x = 36,509 × 36,509
  4. Step 4: Simplify right side
    15,122x = 1,332,907,081
  5. Step 5: Solve for x
    x = 1,332,907,081/15,122
  6. Step 6: Final answer
    x = 88,143.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.