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Finding the Third Proportional to 9,678 and 14,268

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Solution

The third proportional to 9,678 and 14,268 is: 21,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 14,268 = 14,268 : x
  2. Step 2: Convert to fraction form
    9,678/14,268 = 14,268/x
  3. Step 3: Cross multiply
    9,678x = 14,268 × 14,268
  4. Step 4: Simplify right side
    9,678x = 203,575,824
  5. Step 5: Solve for x
    x = 203,575,824/9,678
  6. Step 6: Final answer
    x = 21,034.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.