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Finding the Third Proportional to 3,388 and 7,190

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Solution

The third proportional to 3,388 and 7,190 is: 15,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388 : 7,190 = 7,190 : x
  2. Step 2: Convert to fraction form
    3,388/7,190 = 7,190/x
  3. Step 3: Cross multiply
    3,388x = 7,190 × 7,190
  4. Step 4: Simplify right side
    3,388x = 51,696,100
  5. Step 5: Solve for x
    x = 51,696,100/3,388
  6. Step 6: Final answer
    x = 15,258.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.