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Finding the Third Proportional to 383,998.50 and 509,548.50

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Solution

The third proportional to 383,998.50 and 509,548.50 is: 676,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,998.50 : 509,548.50 = 509,548.50 : x
  2. Step 2: Convert to fraction form
    383,998.50/509,548.50 = 509,548.50/x
  3. Step 3: Cross multiply
    383,998.50x = 509,548.50 × 509,548.50
  4. Step 4: Simplify right side
    383,998.50x = 259,639,673,852.25
  5. Step 5: Solve for x
    x = 259,639,673,852.25/383,998.50
  6. Step 6: Final answer
    x = 676,147.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.