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Finding the Third Proportional to 311,416 and 481,648

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Solution

The third proportional to 311,416 and 481,648 is: 744,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416 : 481,648 = 481,648 : x
  2. Step 2: Convert to fraction form
    311,416/481,648 = 481,648/x
  3. Step 3: Cross multiply
    311,416x = 481,648 × 481,648
  4. Step 4: Simplify right side
    311,416x = 231,984,795,904
  5. Step 5: Solve for x
    x = 231,984,795,904/311,416
  6. Step 6: Final answer
    x = 744,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.