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Finding the Third Proportional to 274.22 and 407.53

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Solution

The third proportional to 274.22 and 407.53 is: 605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 407.53 = 407.53 : x
  2. Step 2: Convert to fraction form
    274.22/407.53 = 407.53/x
  3. Step 3: Cross multiply
    274.22x = 407.53 × 407.53
  4. Step 4: Simplify right side
    274.22x = 166,081.72
  5. Step 5: Solve for x
    x = 166,081.72/274.22
  6. Step 6: Final answer
    x = 605.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.