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Finding the Third Proportional to 311,838.75 and 673,530.75

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Solution

The third proportional to 311,838.75 and 673,530.75 is: 1,454,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.75 : 673,530.75 = 673,530.75 : x
  2. Step 2: Convert to fraction form
    311,838.75/673,530.75 = 673,530.75/x
  3. Step 3: Cross multiply
    311,838.75x = 673,530.75 × 673,530.75
  4. Step 4: Simplify right side
    311,838.75x = 453,643,671,195.56
  5. Step 5: Solve for x
    x = 453,643,671,195.56/311,838.75
  6. Step 6: Final answer
    x = 1,454,737.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.