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Finding the Third Proportional to 330.25 and 513.63

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Solution

The third proportional to 330.25 and 513.63 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.25 : 513.63 = 513.63 : x
  2. Step 2: Convert to fraction form
    330.25/513.63 = 513.63/x
  3. Step 3: Cross multiply
    330.25x = 513.63 × 513.63
  4. Step 4: Simplify right side
    330.25x = 263,810.64
  5. Step 5: Solve for x
    x = 263,810.64/330.25
  6. Step 6: Final answer
    x = 798.82

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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.