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Finding the Third Proportional to 311,049 and 454,909.50

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Solution

The third proportional to 311,049 and 454,909.50 is: 665,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,049 : 454,909.50 = 454,909.50 : x
  2. Step 2: Convert to fraction form
    311,049/454,909.50 = 454,909.50/x
  3. Step 3: Cross multiply
    311,049x = 454,909.50 × 454,909.50
  4. Step 4: Simplify right side
    311,049x = 206,942,653,190.25
  5. Step 5: Solve for x
    x = 206,942,653,190.25/311,049
  6. Step 6: Final answer
    x = 665,305.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.