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Finding the Third Proportional to 311,499 and 677,673

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Solution

The third proportional to 311,499 and 677,673 is: 1,474,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,499 : 677,673 = 677,673 : x
  2. Step 2: Convert to fraction form
    311,499/677,673 = 677,673/x
  3. Step 3: Cross multiply
    311,499x = 677,673 × 677,673
  4. Step 4: Simplify right side
    311,499x = 459,240,694,929
  5. Step 5: Solve for x
    x = 459,240,694,929/311,499
  6. Step 6: Final answer
    x = 1,474,292.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.