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Finding the Third Proportional to 321.88 and 455.94

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Solution

The third proportional to 321.88 and 455.94 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 455.94 = 455.94 : x
  2. Step 2: Convert to fraction form
    321.88/455.94 = 455.94/x
  3. Step 3: Cross multiply
    321.88x = 455.94 × 455.94
  4. Step 4: Simplify right side
    321.88x = 207,879.00
  5. Step 5: Solve for x
    x = 207,879.00/321.88
  6. Step 6: Final answer
    x = 645.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.