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Finding the Third Proportional to 300.94 and 513.98

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Solution

The third proportional to 300.94 and 513.98 is: 877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 513.98 = 513.98 : x
  2. Step 2: Convert to fraction form
    300.94/513.98 = 513.98/x
  3. Step 3: Cross multiply
    300.94x = 513.98 × 513.98
  4. Step 4: Simplify right side
    300.94x = 264,179.94
  5. Step 5: Solve for x
    x = 264,179.94/300.94
  6. Step 6: Final answer
    x = 877.86

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.