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Finding the Third Proportional to 263.63 and 361.88

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Solution

The third proportional to 263.63 and 361.88 is: 496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 361.88 = 361.88 : x
  2. Step 2: Convert to fraction form
    263.63/361.88 = 361.88/x
  3. Step 3: Cross multiply
    263.63x = 361.88 × 361.88
  4. Step 4: Simplify right side
    263.63x = 130,953.52
  5. Step 5: Solve for x
    x = 130,953.52/263.63
  6. Step 6: Final answer
    x = 496.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.