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Finding the Third Proportional to 426,744 and 630,546.75

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Solution

The third proportional to 426,744 and 630,546.75 is: 931,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,744 : 630,546.75 = 630,546.75 : x
  2. Step 2: Convert to fraction form
    426,744/630,546.75 = 630,546.75/x
  3. Step 3: Cross multiply
    426,744x = 630,546.75 × 630,546.75
  4. Step 4: Simplify right side
    426,744x = 397,589,203,935.56
  5. Step 5: Solve for x
    x = 397,589,203,935.56/426,744
  6. Step 6: Final answer
    x = 931,680.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.