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Finding the Third Proportional to 455.06 and 613.78

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Solution

The third proportional to 455.06 and 613.78 is: 827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 613.78 = 613.78 : x
  2. Step 2: Convert to fraction form
    455.06/613.78 = 613.78/x
  3. Step 3: Cross multiply
    455.06x = 613.78 × 613.78
  4. Step 4: Simplify right side
    455.06x = 376,727.42
  5. Step 5: Solve for x
    x = 376,727.42/455.06
  6. Step 6: Final answer
    x = 827.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.