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Finding the Third Proportional to 328.78 and 451.55

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Solution

The third proportional to 328.78 and 451.55 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.78 : 451.55 = 451.55 : x
  2. Step 2: Convert to fraction form
    328.78/451.55 = 451.55/x
  3. Step 3: Cross multiply
    328.78x = 451.55 × 451.55
  4. Step 4: Simplify right side
    328.78x = 203,894.58
  5. Step 5: Solve for x
    x = 203,894.58/328.78
  6. Step 6: Final answer
    x = 620.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.