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Finding the Third Proportional to 311,544 and 443,988

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Solution

The third proportional to 311,544 and 443,988 is: 632,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,544 : 443,988 = 443,988 : x
  2. Step 2: Convert to fraction form
    311,544/443,988 = 443,988/x
  3. Step 3: Cross multiply
    311,544x = 443,988 × 443,988
  4. Step 4: Simplify right side
    311,544x = 197,125,344,144
  5. Step 5: Solve for x
    x = 197,125,344,144/311,544
  6. Step 6: Final answer
    x = 632,736.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.