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Finding the Third Proportional to 311,838 and 673,566

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Solution

The third proportional to 311,838 and 673,566 is: 1,454,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838 : 673,566 = 673,566 : x
  2. Step 2: Convert to fraction form
    311,838/673,566 = 673,566/x
  3. Step 3: Cross multiply
    311,838x = 673,566 × 673,566
  4. Step 4: Simplify right side
    311,838x = 453,691,156,356
  5. Step 5: Solve for x
    x = 453,691,156,356/311,838
  6. Step 6: Final answer
    x = 1,454,893.75

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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.