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Finding the Third Proportional to 40 and 84.50

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Solution

The third proportional to 40 and 84.50 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 84.50 = 84.50 : x
  2. Step 2: Convert to fraction form
    40/84.50 = 84.50/x
  3. Step 3: Cross multiply
    40x = 84.50 × 84.50
  4. Step 4: Simplify right side
    40x = 7,140.25
  5. Step 5: Solve for x
    x = 7,140.25/40
  6. Step 6: Final answer
    x = 178.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.