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Finding the Third Proportional to 381,993.50 and 581,289.50

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Solution

The third proportional to 381,993.50 and 581,289.50 is: 884,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,993.50 : 581,289.50 = 581,289.50 : x
  2. Step 2: Convert to fraction form
    381,993.50/581,289.50 = 581,289.50/x
  3. Step 3: Cross multiply
    381,993.50x = 581,289.50 × 581,289.50
  4. Step 4: Simplify right side
    381,993.50x = 337,897,482,810.25
  5. Step 5: Solve for x
    x = 337,897,482,810.25/381,993.50
  6. Step 6: Final answer
    x = 884,563.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.