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Finding the Third Proportional to 328.69 and 514.41

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Solution

The third proportional to 328.69 and 514.41 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 514.41 = 514.41 : x
  2. Step 2: Convert to fraction form
    328.69/514.41 = 514.41/x
  3. Step 3: Cross multiply
    328.69x = 514.41 × 514.41
  4. Step 4: Simplify right side
    328.69x = 264,613.79
  5. Step 5: Solve for x
    x = 264,613.79/328.69
  6. Step 6: Final answer
    x = 805.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.