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Finding the Third Proportional to 772.45 and 1,698.68

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Solution

The third proportional to 772.45 and 1,698.68 is: 3,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,698.68 = 1,698.68 : x
  2. Step 2: Convert to fraction form
    772.45/1,698.68 = 1,698.68/x
  3. Step 3: Cross multiply
    772.45x = 1,698.68 × 1,698.68
  4. Step 4: Simplify right side
    772.45x = 2,885,512.68
  5. Step 5: Solve for x
    x = 2,885,512.68/772.45
  6. Step 6: Final answer
    x = 3,735.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.