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Finding the Third Proportional to 312,912 and 642,412

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Solution

The third proportional to 312,912 and 642,412 is: 1,318,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,912 : 642,412 = 642,412 : x
  2. Step 2: Convert to fraction form
    312,912/642,412 = 642,412/x
  3. Step 3: Cross multiply
    312,912x = 642,412 × 642,412
  4. Step 4: Simplify right side
    312,912x = 412,693,177,744
  5. Step 5: Solve for x
    x = 412,693,177,744/312,912
  6. Step 6: Final answer
    x = 1,318,879.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.