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Finding the Third Proportional to 202.78 and 445.08

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Solution

The third proportional to 202.78 and 445.08 is: 976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 445.08 = 445.08 : x
  2. Step 2: Convert to fraction form
    202.78/445.08 = 445.08/x
  3. Step 3: Cross multiply
    202.78x = 445.08 × 445.08
  4. Step 4: Simplify right side
    202.78x = 198,094.54
  5. Step 5: Solve for x
    x = 198,094.54/202.78
  6. Step 6: Final answer
    x = 976.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.