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Finding the Third Proportional to 286.03 and 428.20

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Solution

The third proportional to 286.03 and 428.20 is: 641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.03 : 428.20 = 428.20 : x
  2. Step 2: Convert to fraction form
    286.03/428.20 = 428.20/x
  3. Step 3: Cross multiply
    286.03x = 428.20 × 428.20
  4. Step 4: Simplify right side
    286.03x = 183,357.92
  5. Step 5: Solve for x
    x = 183,357.92/286.03
  6. Step 6: Final answer
    x = 641.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.