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Finding the Third Proportional to 306.91 and 665.09

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Solution

The third proportional to 306.91 and 665.09 is: 1,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.91 : 665.09 = 665.09 : x
  2. Step 2: Convert to fraction form
    306.91/665.09 = 665.09/x
  3. Step 3: Cross multiply
    306.91x = 665.09 × 665.09
  4. Step 4: Simplify right side
    306.91x = 442,339.30
  5. Step 5: Solve for x
    x = 442,339.30/306.91
  6. Step 6: Final answer
    x = 1,441.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.