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Finding the Third Proportional to 407.74 and 451.83

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Solution

The third proportional to 407.74 and 451.83 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.74 : 451.83 = 451.83 : x
  2. Step 2: Convert to fraction form
    407.74/451.83 = 451.83/x
  3. Step 3: Cross multiply
    407.74x = 451.83 × 451.83
  4. Step 4: Simplify right side
    407.74x = 204,148.65
  5. Step 5: Solve for x
    x = 204,148.65/407.74
  6. Step 6: Final answer
    x = 500.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.