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Finding the Third Proportional to 431,682.75 and 647,520.75

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Solution

The third proportional to 431,682.75 and 647,520.75 is: 971,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,682.75 : 647,520.75 = 647,520.75 : x
  2. Step 2: Convert to fraction form
    431,682.75/647,520.75 = 647,520.75/x
  3. Step 3: Cross multiply
    431,682.75x = 647,520.75 × 647,520.75
  4. Step 4: Simplify right side
    431,682.75x = 419,283,121,680.56
  5. Step 5: Solve for x
    x = 419,283,121,680.56/431,682.75
  6. Step 6: Final answer
    x = 971,276.06

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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.