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Finding the Third Proportional to 321.05 and 675.42

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Solution

The third proportional to 321.05 and 675.42 is: 1,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 675.42 = 675.42 : x
  2. Step 2: Convert to fraction form
    321.05/675.42 = 675.42/x
  3. Step 3: Cross multiply
    321.05x = 675.42 × 675.42
  4. Step 4: Simplify right side
    321.05x = 456,194.71
  5. Step 5: Solve for x
    x = 456,194.71/321.05
  6. Step 6: Final answer
    x = 1,420.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.