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Finding the Third Proportional to 85.03 and 200.84

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Solution

The third proportional to 85.03 and 200.84 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.03 : 200.84 = 200.84 : x
  2. Step 2: Convert to fraction form
    85.03/200.84 = 200.84/x
  3. Step 3: Cross multiply
    85.03x = 200.84 × 200.84
  4. Step 4: Simplify right side
    85.03x = 40,336.25
  5. Step 5: Solve for x
    x = 40,336.25/85.03
  6. Step 6: Final answer
    x = 474.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.