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Finding the Third Proportional to 312,147 and 673,542

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Solution

The third proportional to 312,147 and 673,542 is: 1,453,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,147 : 673,542 = 673,542 : x
  2. Step 2: Convert to fraction form
    312,147/673,542 = 673,542/x
  3. Step 3: Cross multiply
    312,147x = 673,542 × 673,542
  4. Step 4: Simplify right side
    312,147x = 453,658,825,764
  5. Step 5: Solve for x
    x = 453,658,825,764/312,147
  6. Step 6: Final answer
    x = 1,453,349.95

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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.