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Finding the Third Proportional to 7,138 and 16,678

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Solution

The third proportional to 7,138 and 16,678 is: 38,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 16,678 = 16,678 : x
  2. Step 2: Convert to fraction form
    7,138/16,678 = 16,678/x
  3. Step 3: Cross multiply
    7,138x = 16,678 × 16,678
  4. Step 4: Simplify right side
    7,138x = 278,155,684
  5. Step 5: Solve for x
    x = 278,155,684/7,138
  6. Step 6: Final answer
    x = 38,968.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.