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Finding the Third Proportional to 98.05 and 203.03

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Solution

The third proportional to 98.05 and 203.03 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.05 : 203.03 = 203.03 : x
  2. Step 2: Convert to fraction form
    98.05/203.03 = 203.03/x
  3. Step 3: Cross multiply
    98.05x = 203.03 × 203.03
  4. Step 4: Simplify right side
    98.05x = 41,220.10
  5. Step 5: Solve for x
    x = 41,220.10/98.05
  6. Step 6: Final answer
    x = 420.40

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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.