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Finding the Third Proportional to 3,228 and 7,477.50

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Solution

The third proportional to 3,228 and 7,477.50 is: 17,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228 : 7,477.50 = 7,477.50 : x
  2. Step 2: Convert to fraction form
    3,228/7,477.50 = 7,477.50/x
  3. Step 3: Cross multiply
    3,228x = 7,477.50 × 7,477.50
  4. Step 4: Simplify right side
    3,228x = 55,913,006.25
  5. Step 5: Solve for x
    x = 55,913,006.25/3,228
  6. Step 6: Final answer
    x = 17,321.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.