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Finding the Third Proportional to 329.48 and 514.20

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Solution

The third proportional to 329.48 and 514.20 is: 802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 514.20 = 514.20 : x
  2. Step 2: Convert to fraction form
    329.48/514.20 = 514.20/x
  3. Step 3: Cross multiply
    329.48x = 514.20 × 514.20
  4. Step 4: Simplify right side
    329.48x = 264,396.82
  5. Step 5: Solve for x
    x = 264,396.82/329.48
  6. Step 6: Final answer
    x = 802.46

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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.