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Finding the Third Proportional to 274.15 and 599.55

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Solution

The third proportional to 274.15 and 599.55 is: 1,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 599.55 = 599.55 : x
  2. Step 2: Convert to fraction form
    274.15/599.55 = 599.55/x
  3. Step 3: Cross multiply
    274.15x = 599.55 × 599.55
  4. Step 4: Simplify right side
    274.15x = 359,465.82
  5. Step 5: Solve for x
    x = 359,465.82/274.15
  6. Step 6: Final answer
    x = 1,311.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.