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Finding the Third Proportional to 779.44 and 1,648.31

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Solution

The third proportional to 779.44 and 1,648.31 is: 3,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.44 : 1,648.31 = 1,648.31 : x
  2. Step 2: Convert to fraction form
    779.44/1,648.31 = 1,648.31/x
  3. Step 3: Cross multiply
    779.44x = 1,648.31 × 1,648.31
  4. Step 4: Simplify right side
    779.44x = 2,716,934.10
  5. Step 5: Solve for x
    x = 2,716,934.10/779.44
  6. Step 6: Final answer
    x = 3,485.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.