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Finding the Third Proportional to 383,980.50 and 826,827.75

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Solution

The third proportional to 383,980.50 and 826,827.75 is: 1,780,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,980.50 : 826,827.75 = 826,827.75 : x
  2. Step 2: Convert to fraction form
    383,980.50/826,827.75 = 826,827.75/x
  3. Step 3: Cross multiply
    383,980.50x = 826,827.75 × 826,827.75
  4. Step 4: Simplify right side
    383,980.50x = 683,644,128,170.06
  5. Step 5: Solve for x
    x = 683,644,128,170.06/383,980.50
  6. Step 6: Final answer
    x = 1,780,413.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.