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Finding the Third Proportional to 381,190.85 and 559,054.62

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Solution

The third proportional to 381,190.85 and 559,054.62 is: 819,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,190.85 : 559,054.62 = 559,054.62 : x
  2. Step 2: Convert to fraction form
    381,190.85/559,054.62 = 559,054.62/x
  3. Step 3: Cross multiply
    381,190.85x = 559,054.62 × 559,054.62
  4. Step 4: Simplify right side
    381,190.85x = 312,542,064,998.66
  5. Step 5: Solve for x
    x = 312,542,064,998.66/381,190.85
  6. Step 6: Final answer
    x = 819,909.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.