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Finding the Third Proportional to 202 and 434.75

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Solution

The third proportional to 202 and 434.75 is: 935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 434.75 = 434.75 : x
  2. Step 2: Convert to fraction form
    202/434.75 = 434.75/x
  3. Step 3: Cross multiply
    202x = 434.75 × 434.75
  4. Step 4: Simplify right side
    202x = 189,007.56
  5. Step 5: Solve for x
    x = 189,007.56/202
  6. Step 6: Final answer
    x = 935.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.