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Finding the Third Proportional to 17,372 and 19,154

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Solution

The third proportional to 17,372 and 19,154 is: 21,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,372 : 19,154 = 19,154 : x
  2. Step 2: Convert to fraction form
    17,372/19,154 = 19,154/x
  3. Step 3: Cross multiply
    17,372x = 19,154 × 19,154
  4. Step 4: Simplify right side
    17,372x = 366,875,716
  5. Step 5: Solve for x
    x = 366,875,716/17,372
  6. Step 6: Final answer
    x = 21,118.80

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.