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Finding the Third Proportional to 312,109 and 673,384

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Solution

The third proportional to 312,109 and 673,384 is: 1,452,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109 : 673,384 = 673,384 : x
  2. Step 2: Convert to fraction form
    312,109/673,384 = 673,384/x
  3. Step 3: Cross multiply
    312,109x = 673,384 × 673,384
  4. Step 4: Simplify right side
    312,109x = 453,446,011,456
  5. Step 5: Solve for x
    x = 453,446,011,456/312,109
  6. Step 6: Final answer
    x = 1,452,845.04

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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.