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Finding the Third Proportional to 405,818.44 and 630,832.22

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Solution

The third proportional to 405,818.44 and 630,832.22 is: 980,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,818.44 : 630,832.22 = 630,832.22 : x
  2. Step 2: Convert to fraction form
    405,818.44/630,832.22 = 630,832.22/x
  3. Step 3: Cross multiply
    405,818.44x = 630,832.22 × 630,832.22
  4. Step 4: Simplify right side
    405,818.44x = 397,949,288,213.05
  5. Step 5: Solve for x
    x = 397,949,288,213.05/405,818.44
  6. Step 6: Final answer
    x = 980,609.19

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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.