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Finding the Third Proportional to 13,994 and 19,787

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Solution

The third proportional to 13,994 and 19,787 is: 27,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994 : 19,787 = 19,787 : x
  2. Step 2: Convert to fraction form
    13,994/19,787 = 19,787/x
  3. Step 3: Cross multiply
    13,994x = 19,787 × 19,787
  4. Step 4: Simplify right side
    13,994x = 391,525,369
  5. Step 5: Solve for x
    x = 391,525,369/13,994
  6. Step 6: Final answer
    x = 27,978.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.