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Finding the Third Proportional to 98,401.50 and 203,804.44

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Solution

The third proportional to 98,401.50 and 203,804.44 is: 422,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,401.50 : 203,804.44 = 203,804.44 : x
  2. Step 2: Convert to fraction form
    98,401.50/203,804.44 = 203,804.44/x
  3. Step 3: Cross multiply
    98,401.50x = 203,804.44 × 203,804.44
  4. Step 4: Simplify right side
    98,401.50x = 41,536,248,744.69
  5. Step 5: Solve for x
    x = 41,536,248,744.69/98,401.50
  6. Step 6: Final answer
    x = 422,109.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.