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Finding the Third Proportional to 85.84 and 202.56

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Solution

The third proportional to 85.84 and 202.56 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 202.56 = 202.56 : x
  2. Step 2: Convert to fraction form
    85.84/202.56 = 202.56/x
  3. Step 3: Cross multiply
    85.84x = 202.56 × 202.56
  4. Step 4: Simplify right side
    85.84x = 41,029.98
  5. Step 5: Solve for x
    x = 41,029.98/85.84
  6. Step 6: Final answer
    x = 477.98

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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.