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Finding the Third Proportional to 7,980 and 16,284

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Solution

The third proportional to 7,980 and 16,284 is: 33,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980 : 16,284 = 16,284 : x
  2. Step 2: Convert to fraction form
    7,980/16,284 = 16,284/x
  3. Step 3: Cross multiply
    7,980x = 16,284 × 16,284
  4. Step 4: Simplify right side
    7,980x = 265,168,656
  5. Step 5: Solve for x
    x = 265,168,656/7,980
  6. Step 6: Final answer
    x = 33,229.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.