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Finding the Third Proportional to 13,990 and 19,610

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Solution

The third proportional to 13,990 and 19,610 is: 27,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990 : 19,610 = 19,610 : x
  2. Step 2: Convert to fraction form
    13,990/19,610 = 19,610/x
  3. Step 3: Cross multiply
    13,990x = 19,610 × 19,610
  4. Step 4: Simplify right side
    13,990x = 384,552,100
  5. Step 5: Solve for x
    x = 384,552,100/13,990
  6. Step 6: Final answer
    x = 27,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.