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Finding the Third Proportional to 403.17 and 613.27

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Solution

The third proportional to 403.17 and 613.27 is: 932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.17 : 613.27 = 613.27 : x
  2. Step 2: Convert to fraction form
    403.17/613.27 = 613.27/x
  3. Step 3: Cross multiply
    403.17x = 613.27 × 613.27
  4. Step 4: Simplify right side
    403.17x = 376,094.73
  5. Step 5: Solve for x
    x = 376,094.73/403.17
  6. Step 6: Final answer
    x = 932.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.