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Finding the Third Proportional to 2,678.91 and 4,109.44

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Solution

The third proportional to 2,678.91 and 4,109.44 is: 6,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.91 : 4,109.44 = 4,109.44 : x
  2. Step 2: Convert to fraction form
    2,678.91/4,109.44 = 4,109.44/x
  3. Step 3: Cross multiply
    2,678.91x = 4,109.44 × 4,109.44
  4. Step 4: Simplify right side
    2,678.91x = 16,887,476.57
  5. Step 5: Solve for x
    x = 16,887,476.57/2,678.91
  6. Step 6: Final answer
    x = 6,303.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.