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Finding the Third Proportional to 202.82 and 336.02

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Solution

The third proportional to 202.82 and 336.02 is: 556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 336.02 = 336.02 : x
  2. Step 2: Convert to fraction form
    202.82/336.02 = 336.02/x
  3. Step 3: Cross multiply
    202.82x = 336.02 × 336.02
  4. Step 4: Simplify right side
    202.82x = 112,911.75
  5. Step 5: Solve for x
    x = 112,911.75/202.82
  6. Step 6: Final answer
    x = 556.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.