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Finding the Third Proportional to 339,516.56 and 509,315.34

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Solution

The third proportional to 339,516.56 and 509,315.34 is: 764,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,516.56 : 509,315.34 = 509,315.34 : x
  2. Step 2: Convert to fraction form
    339,516.56/509,315.34 = 509,315.34/x
  3. Step 3: Cross multiply
    339,516.56x = 509,315.34 × 509,315.34
  4. Step 4: Simplify right side
    339,516.56x = 259,402,119,379.18
  5. Step 5: Solve for x
    x = 259,402,119,379.18/339,516.56
  6. Step 6: Final answer
    x = 764,033.77

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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.