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Finding the Third Proportional to 678,997.50 and 1,493,583

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Solution

The third proportional to 678,997.50 and 1,493,583 is: 3,285,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,997.50 : 1,493,583 = 1,493,583 : x
  2. Step 2: Convert to fraction form
    678,997.50/1,493,583 = 1,493,583/x
  3. Step 3: Cross multiply
    678,997.50x = 1,493,583 × 1,493,583
  4. Step 4: Simplify right side
    678,997.50x = 2,230,790,177,889
  5. Step 5: Solve for x
    x = 2,230,790,177,889/678,997.50
  6. Step 6: Final answer
    x = 3,285,417.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.