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Finding the Third Proportional to 420,224.63 and 630,767.25

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Solution

The third proportional to 420,224.63 and 630,767.25 is: 946,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,224.63 : 630,767.25 = 630,767.25 : x
  2. Step 2: Convert to fraction form
    420,224.63/630,767.25 = 630,767.25/x
  3. Step 3: Cross multiply
    420,224.63x = 630,767.25 × 630,767.25
  4. Step 4: Simplify right side
    420,224.63x = 397,867,323,672.56
  5. Step 5: Solve for x
    x = 397,867,323,672.56/420,224.63
  6. Step 6: Final answer
    x = 946,796.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.