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Finding the Third Proportional to 1,698.25 and 3,505.63

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Solution

The third proportional to 1,698.25 and 3,505.63 is: 7,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.25 : 3,505.63 = 3,505.63 : x
  2. Step 2: Convert to fraction form
    1,698.25/3,505.63 = 3,505.63/x
  3. Step 3: Cross multiply
    1,698.25x = 3,505.63 × 3,505.63
  4. Step 4: Simplify right side
    1,698.25x = 12,289,406.64
  5. Step 5: Solve for x
    x = 12,289,406.64/1,698.25
  6. Step 6: Final answer
    x = 7,236.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.