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Finding the Third Proportional to 85.43 and 201.23

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Solution

The third proportional to 85.43 and 201.23 is: 474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.43 : 201.23 = 201.23 : x
  2. Step 2: Convert to fraction form
    85.43/201.23 = 201.23/x
  3. Step 3: Cross multiply
    85.43x = 201.23 × 201.23
  4. Step 4: Simplify right side
    85.43x = 40,495.27
  5. Step 5: Solve for x
    x = 40,495.27/85.43
  6. Step 6: Final answer
    x = 474.02

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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.