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Finding the Third Proportional to 199.76 and 428.20

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Solution

The third proportional to 199.76 and 428.20 is: 917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 428.20 = 428.20 : x
  2. Step 2: Convert to fraction form
    199.76/428.20 = 428.20/x
  3. Step 3: Cross multiply
    199.76x = 428.20 × 428.20
  4. Step 4: Simplify right side
    199.76x = 183,357.92
  5. Step 5: Solve for x
    x = 183,357.92/199.76
  6. Step 6: Final answer
    x = 917.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.