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Finding the Third Proportional to 433.78 and 650.39

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Solution

The third proportional to 433.78 and 650.39 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.78 : 650.39 = 650.39 : x
  2. Step 2: Convert to fraction form
    433.78/650.39 = 650.39/x
  3. Step 3: Cross multiply
    433.78x = 650.39 × 650.39
  4. Step 4: Simplify right side
    433.78x = 423,007.97
  5. Step 5: Solve for x
    x = 423,007.97/433.78
  6. Step 6: Final answer
    x = 975.16

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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.