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Finding the Third Proportional to 202.36 and 376.03

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Solution

The third proportional to 202.36 and 376.03 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.36 : 376.03 = 376.03 : x
  2. Step 2: Convert to fraction form
    202.36/376.03 = 376.03/x
  3. Step 3: Cross multiply
    202.36x = 376.03 × 376.03
  4. Step 4: Simplify right side
    202.36x = 141,399.50
  5. Step 5: Solve for x
    x = 141,399.50/202.36
  6. Step 6: Final answer
    x = 698.75

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.