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Finding the Third Proportional to 308.44 and 487.78

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Solution

The third proportional to 308.44 and 487.78 is: 771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.44 : 487.78 = 487.78 : x
  2. Step 2: Convert to fraction form
    308.44/487.78 = 487.78/x
  3. Step 3: Cross multiply
    308.44x = 487.78 × 487.78
  4. Step 4: Simplify right side
    308.44x = 237,930.55
  5. Step 5: Solve for x
    x = 237,930.55/308.44
  6. Step 6: Final answer
    x = 771.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.