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Finding the Third Proportional to 251.63 and 368.63

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Solution

The third proportional to 251.63 and 368.63 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 368.63 = 368.63 : x
  2. Step 2: Convert to fraction form
    251.63/368.63 = 368.63/x
  3. Step 3: Cross multiply
    251.63x = 368.63 × 368.63
  4. Step 4: Simplify right side
    251.63x = 135,884.39
  5. Step 5: Solve for x
    x = 135,884.39/251.63
  6. Step 6: Final answer
    x = 540.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.