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Finding the Third Proportional to 339.40 and 511.52

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Solution

The third proportional to 339.40 and 511.52 is: 770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 511.52 = 511.52 : x
  2. Step 2: Convert to fraction form
    339.40/511.52 = 511.52/x
  3. Step 3: Cross multiply
    339.40x = 511.52 × 511.52
  4. Step 4: Simplify right side
    339.40x = 261,656.23
  5. Step 5: Solve for x
    x = 261,656.23/339.40
  6. Step 6: Final answer
    x = 770.94

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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.