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Finding the Third Proportional to 17,235 and 19,787

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Solution

The third proportional to 17,235 and 19,787 is: 22,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235 : 19,787 = 19,787 : x
  2. Step 2: Convert to fraction form
    17,235/19,787 = 19,787/x
  3. Step 3: Cross multiply
    17,235x = 19,787 × 19,787
  4. Step 4: Simplify right side
    17,235x = 391,525,369
  5. Step 5: Solve for x
    x = 391,525,369/17,235
  6. Step 6: Final answer
    x = 22,716.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.