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Finding the Third Proportional to 1,800,937.50 and 3,202,563

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Solution

The third proportional to 1,800,937.50 and 3,202,563 is: 5,695,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,937.50 : 3,202,563 = 3,202,563 : x
  2. Step 2: Convert to fraction form
    1,800,937.50/3,202,563 = 3,202,563/x
  3. Step 3: Cross multiply
    1,800,937.50x = 3,202,563 × 3,202,563
  4. Step 4: Simplify right side
    1,800,937.50x = 10,256,409,768,969
  5. Step 5: Solve for x
    x = 10,256,409,768,969/1,800,937.50
  6. Step 6: Final answer
    x = 5,695,039.26

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.