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Finding the Third Proportional to 321.88 and 455.44

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Solution

The third proportional to 321.88 and 455.44 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 455.44 = 455.44 : x
  2. Step 2: Convert to fraction form
    321.88/455.44 = 455.44/x
  3. Step 3: Cross multiply
    321.88x = 455.44 × 455.44
  4. Step 4: Simplify right side
    321.88x = 207,423.32
  5. Step 5: Solve for x
    x = 207,423.32/321.88
  6. Step 6: Final answer
    x = 644.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.