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Finding the Third Proportional to 9,733 and 15,054

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Solution

The third proportional to 9,733 and 15,054 is: 23,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 15,054 = 15,054 : x
  2. Step 2: Convert to fraction form
    9,733/15,054 = 15,054/x
  3. Step 3: Cross multiply
    9,733x = 15,054 × 15,054
  4. Step 4: Simplify right side
    9,733x = 226,622,916
  5. Step 5: Solve for x
    x = 226,622,916/9,733
  6. Step 6: Final answer
    x = 23,283.97

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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.