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Finding the Third Proportional to 9,378 and 13,190

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Solution

The third proportional to 9,378 and 13,190 is: 18,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 13,190 = 13,190 : x
  2. Step 2: Convert to fraction form
    9,378/13,190 = 13,190/x
  3. Step 3: Cross multiply
    9,378x = 13,190 × 13,190
  4. Step 4: Simplify right side
    9,378x = 173,976,100
  5. Step 5: Solve for x
    x = 173,976,100/9,378
  6. Step 6: Final answer
    x = 18,551.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.