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Finding the Third Proportional to 329.69 and 514.47

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Solution

The third proportional to 329.69 and 514.47 is: 802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 514.47 = 514.47 : x
  2. Step 2: Convert to fraction form
    329.69/514.47 = 514.47/x
  3. Step 3: Cross multiply
    329.69x = 514.47 × 514.47
  4. Step 4: Simplify right side
    329.69x = 264,678.09
  5. Step 5: Solve for x
    x = 264,678.09/329.69
  6. Step 6: Final answer
    x = 802.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.