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Finding the Third Proportional to 1,712.39 and 3,698.16

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Solution

The third proportional to 1,712.39 and 3,698.16 is: 7,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.39 : 3,698.16 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    1,712.39/3,698.16 = 3,698.16/x
  3. Step 3: Cross multiply
    1,712.39x = 3,698.16 × 3,698.16
  4. Step 4: Simplify right side
    1,712.39x = 13,676,359.65
  5. Step 5: Solve for x
    x = 13,676,359.65/1,712.39
  6. Step 6: Final answer
    x = 7,986.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.