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Finding the Third Proportional to 5,178 and 11,689

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Solution

The third proportional to 5,178 and 11,689 is: 26,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178 : 11,689 = 11,689 : x
  2. Step 2: Convert to fraction form
    5,178/11,689 = 11,689/x
  3. Step 3: Cross multiply
    5,178x = 11,689 × 11,689
  4. Step 4: Simplify right side
    5,178x = 136,632,721
  5. Step 5: Solve for x
    x = 136,632,721/5,178
  6. Step 6: Final answer
    x = 26,387.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.