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Finding the Third Proportional to 308.67 and 666.14

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Solution

The third proportional to 308.67 and 666.14 is: 1,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.67 : 666.14 = 666.14 : x
  2. Step 2: Convert to fraction form
    308.67/666.14 = 666.14/x
  3. Step 3: Cross multiply
    308.67x = 666.14 × 666.14
  4. Step 4: Simplify right side
    308.67x = 443,743.33
  5. Step 5: Solve for x
    x = 443,743.33/308.67
  6. Step 6: Final answer
    x = 1,437.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.