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Finding the Third Proportional to 321.14 and 705.42

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Solution

The third proportional to 321.14 and 705.42 is: 1,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 705.42 = 705.42 : x
  2. Step 2: Convert to fraction form
    321.14/705.42 = 705.42/x
  3. Step 3: Cross multiply
    321.14x = 705.42 × 705.42
  4. Step 4: Simplify right side
    321.14x = 497,620.02
  5. Step 5: Solve for x
    x = 497,620.02/321.14
  6. Step 6: Final answer
    x = 1,549.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.