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Finding the Third Proportional to 769.92 and 1,698.05

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Solution

The third proportional to 769.92 and 1,698.05 is: 3,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,698.05 = 1,698.05 : x
  2. Step 2: Convert to fraction form
    769.92/1,698.05 = 1,698.05/x
  3. Step 3: Cross multiply
    769.92x = 1,698.05 × 1,698.05
  4. Step 4: Simplify right side
    769.92x = 2,883,363.19
  5. Step 5: Solve for x
    x = 2,883,363.19/769.92
  6. Step 6: Final answer
    x = 3,745.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.