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Finding the Third Proportional to 7,190 and 17,408

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Solution

The third proportional to 7,190 and 17,408 is: 42,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190 : 17,408 = 17,408 : x
  2. Step 2: Convert to fraction form
    7,190/17,408 = 17,408/x
  3. Step 3: Cross multiply
    7,190x = 17,408 × 17,408
  4. Step 4: Simplify right side
    7,190x = 303,038,464
  5. Step 5: Solve for x
    x = 303,038,464/7,190
  6. Step 6: Final answer
    x = 42,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.