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Finding the Third Proportional to 12,802 and 28,196

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Solution

The third proportional to 12,802 and 28,196 is: 62,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 28,196 = 28,196 : x
  2. Step 2: Convert to fraction form
    12,802/28,196 = 28,196/x
  3. Step 3: Cross multiply
    12,802x = 28,196 × 28,196
  4. Step 4: Simplify right side
    12,802x = 795,014,416
  5. Step 5: Solve for x
    x = 795,014,416/12,802
  6. Step 6: Final answer
    x = 62,100.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.