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Finding the Third Proportional to 677.44 and 1,408.69

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Solution

The third proportional to 677.44 and 1,408.69 is: 2,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 1,408.69 = 1,408.69 : x
  2. Step 2: Convert to fraction form
    677.44/1,408.69 = 1,408.69/x
  3. Step 3: Cross multiply
    677.44x = 1,408.69 × 1,408.69
  4. Step 4: Simplify right side
    677.44x = 1,984,400.47
  5. Step 5: Solve for x
    x = 1,984,400.47/677.44
  6. Step 6: Final answer
    x = 2,929.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.