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Finding the Third Proportional to 85.60 and 186.22

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Solution

The third proportional to 85.60 and 186.22 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.60 : 186.22 = 186.22 : x
  2. Step 2: Convert to fraction form
    85.60/186.22 = 186.22/x
  3. Step 3: Cross multiply
    85.60x = 186.22 × 186.22
  4. Step 4: Simplify right side
    85.60x = 34,677.99
  5. Step 5: Solve for x
    x = 34,677.99/85.60
  6. Step 6: Final answer
    x = 405.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.