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Finding the Third Proportional to 306.12 and 459.86

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Solution

The third proportional to 306.12 and 459.86 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 459.86 = 459.86 : x
  2. Step 2: Convert to fraction form
    306.12/459.86 = 459.86/x
  3. Step 3: Cross multiply
    306.12x = 459.86 × 459.86
  4. Step 4: Simplify right side
    306.12x = 211,467.69
  5. Step 5: Solve for x
    x = 211,467.69/306.12
  6. Step 6: Final answer
    x = 690.80

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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.