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Finding the Third Proportional to 6,816 and 14,319

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Solution

The third proportional to 6,816 and 14,319 is: 30,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 14,319 = 14,319 : x
  2. Step 2: Convert to fraction form
    6,816/14,319 = 14,319/x
  3. Step 3: Cross multiply
    6,816x = 14,319 × 14,319
  4. Step 4: Simplify right side
    6,816x = 205,033,761
  5. Step 5: Solve for x
    x = 205,033,761/6,816
  6. Step 6: Final answer
    x = 30,081.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.