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Finding the Third Proportional to 202.78 and 477.28

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Solution

The third proportional to 202.78 and 477.28 is: 1,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 477.28 = 477.28 : x
  2. Step 2: Convert to fraction form
    202.78/477.28 = 477.28/x
  3. Step 3: Cross multiply
    202.78x = 477.28 × 477.28
  4. Step 4: Simplify right side
    202.78x = 227,797.39
  5. Step 5: Solve for x
    x = 227,797.39/202.78
  6. Step 6: Final answer
    x = 1,123.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.