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Finding the Third Proportional to 424.83 and 636.40

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Solution

The third proportional to 424.83 and 636.40 is: 953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 636.40 = 636.40 : x
  2. Step 2: Convert to fraction form
    424.83/636.40 = 636.40/x
  3. Step 3: Cross multiply
    424.83x = 636.40 × 636.40
  4. Step 4: Simplify right side
    424.83x = 405,002.97
  5. Step 5: Solve for x
    x = 405,002.97/424.83
  6. Step 6: Final answer
    x = 953.33

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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.