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Finding the Third Proportional to 339,536 and 509,345

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Solution

The third proportional to 339,536 and 509,345 is: 764,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,536 : 509,345 = 509,345 : x
  2. Step 2: Convert to fraction form
    339,536/509,345 = 509,345/x
  3. Step 3: Cross multiply
    339,536x = 509,345 × 509,345
  4. Step 4: Simplify right side
    339,536x = 259,432,329,025
  5. Step 5: Solve for x
    x = 259,432,329,025/339,536
  6. Step 6: Final answer
    x = 764,079.00

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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.