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Finding the Third Proportional to 200.99 and 428.98

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Solution

The third proportional to 200.99 and 428.98 is: 915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.99 : 428.98 = 428.98 : x
  2. Step 2: Convert to fraction form
    200.99/428.98 = 428.98/x
  3. Step 3: Cross multiply
    200.99x = 428.98 × 428.98
  4. Step 4: Simplify right side
    200.99x = 184,020.89
  5. Step 5: Solve for x
    x = 184,020.89/200.99
  6. Step 6: Final answer
    x = 915.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.