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Finding the Third Proportional to 339,280 and 509,689

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Solution

The third proportional to 339,280 and 509,689 is: 765,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,280 : 509,689 = 509,689 : x
  2. Step 2: Convert to fraction form
    339,280/509,689 = 509,689/x
  3. Step 3: Cross multiply
    339,280x = 509,689 × 509,689
  4. Step 4: Simplify right side
    339,280x = 259,782,876,721
  5. Step 5: Solve for x
    x = 259,782,876,721/339,280
  6. Step 6: Final answer
    x = 765,688.74

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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.