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Finding the Third Proportional to 17,835 and 19,391.75

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Solution

The third proportional to 17,835 and 19,391.75 is: 21,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835 : 19,391.75 = 19,391.75 : x
  2. Step 2: Convert to fraction form
    17,835/19,391.75 = 19,391.75/x
  3. Step 3: Cross multiply
    17,835x = 19,391.75 × 19,391.75
  4. Step 4: Simplify right side
    17,835x = 376,039,968.06
  5. Step 5: Solve for x
    x = 376,039,968.06/17,835
  6. Step 6: Final answer
    x = 21,084.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.