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Finding the Third Proportional to 225,638 and 490,179.50

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Solution

The third proportional to 225,638 and 490,179.50 is: 1,064,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,638 : 490,179.50 = 490,179.50 : x
  2. Step 2: Convert to fraction form
    225,638/490,179.50 = 490,179.50/x
  3. Step 3: Cross multiply
    225,638x = 490,179.50 × 490,179.50
  4. Step 4: Simplify right side
    225,638x = 240,275,942,220.25
  5. Step 5: Solve for x
    x = 240,275,942,220.25/225,638
  6. Step 6: Final answer
    x = 1,064,873.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.