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Finding the Third Proportional to 339.47 and 511.78

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Solution

The third proportional to 339.47 and 511.78 is: 771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.47 : 511.78 = 511.78 : x
  2. Step 2: Convert to fraction form
    339.47/511.78 = 511.78/x
  3. Step 3: Cross multiply
    339.47x = 511.78 × 511.78
  4. Step 4: Simplify right side
    339.47x = 261,920.05
  5. Step 5: Solve for x
    x = 261,920.05/339.47
  6. Step 6: Final answer
    x = 771.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.