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Finding the Third Proportional to 431,727.47 and 647,642.46

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Solution

The third proportional to 431,727.47 and 647,642.46 is: 971,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,727.47 : 647,642.46 = 647,642.46 : x
  2. Step 2: Convert to fraction form
    431,727.47/647,642.46 = 647,642.46/x
  3. Step 3: Cross multiply
    431,727.47x = 647,642.46 × 647,642.46
  4. Step 4: Simplify right side
    431,727.47x = 419,440,757,209.18
  5. Step 5: Solve for x
    x = 419,440,757,209.18/431,727.47
  6. Step 6: Final answer
    x = 971,540.58

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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.