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Finding the Third Proportional to 336.14 and 511.55

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Solution

The third proportional to 336.14 and 511.55 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.14 : 511.55 = 511.55 : x
  2. Step 2: Convert to fraction form
    336.14/511.55 = 511.55/x
  3. Step 3: Cross multiply
    336.14x = 511.55 × 511.55
  4. Step 4: Simplify right side
    336.14x = 261,680.21
  5. Step 5: Solve for x
    x = 261,680.21/336.14
  6. Step 6: Final answer
    x = 778.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.