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Finding the Third Proportional to 9,054 and 13,878

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Solution

The third proportional to 9,054 and 13,878 is: 21,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,878 = 13,878 : x
  2. Step 2: Convert to fraction form
    9,054/13,878 = 13,878/x
  3. Step 3: Cross multiply
    9,054x = 13,878 × 13,878
  4. Step 4: Simplify right side
    9,054x = 192,598,884
  5. Step 5: Solve for x
    x = 192,598,884/9,054
  6. Step 6: Final answer
    x = 21,272.24

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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.