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Finding the Third Proportional to 264.09 and 395.19

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Solution

The third proportional to 264.09 and 395.19 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 395.19 = 395.19 : x
  2. Step 2: Convert to fraction form
    264.09/395.19 = 395.19/x
  3. Step 3: Cross multiply
    264.09x = 395.19 × 395.19
  4. Step 4: Simplify right side
    264.09x = 156,176.25
  5. Step 5: Solve for x
    x = 156,176.25/264.09
  6. Step 6: Final answer
    x = 591.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.