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Finding the Third Proportional to 405,819.50 and 630,833.25

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Solution

The third proportional to 405,819.50 and 630,833.25 is: 980,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,819.50 : 630,833.25 = 630,833.25 : x
  2. Step 2: Convert to fraction form
    405,819.50/630,833.25 = 630,833.25/x
  3. Step 3: Cross multiply
    405,819.50x = 630,833.25 × 630,833.25
  4. Step 4: Simplify right side
    405,819.50x = 397,950,589,305.56
  5. Step 5: Solve for x
    x = 397,950,589,305.56/405,819.50
  6. Step 6: Final answer
    x = 980,609.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.