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Finding the Third Proportional to 339,278 and 509,686

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Solution

The third proportional to 339,278 and 509,686 is: 765,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,278 : 509,686 = 509,686 : x
  2. Step 2: Convert to fraction form
    339,278/509,686 = 509,686/x
  3. Step 3: Cross multiply
    339,278x = 509,686 × 509,686
  4. Step 4: Simplify right side
    339,278x = 259,779,818,596
  5. Step 5: Solve for x
    x = 259,779,818,596/339,278
  6. Step 6: Final answer
    x = 765,684.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.