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Finding the Third Proportional to 1,696.50 and 3,717

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Solution

The third proportional to 1,696.50 and 3,717 is: 8,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.50 : 3,717 = 3,717 : x
  2. Step 2: Convert to fraction form
    1,696.50/3,717 = 3,717/x
  3. Step 3: Cross multiply
    1,696.50x = 3,717 × 3,717
  4. Step 4: Simplify right side
    1,696.50x = 13,816,089
  5. Step 5: Solve for x
    x = 13,816,089/1,696.50
  6. Step 6: Final answer
    x = 8,143.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.