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Finding the Third Proportional to 84.75 and 184.69

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Solution

The third proportional to 84.75 and 184.69 is: 402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.75 : 184.69 = 184.69 : x
  2. Step 2: Convert to fraction form
    84.75/184.69 = 184.69/x
  3. Step 3: Cross multiply
    84.75x = 184.69 × 184.69
  4. Step 4: Simplify right side
    84.75x = 34,109.47
  5. Step 5: Solve for x
    x = 34,109.47/84.75
  6. Step 6: Final answer
    x = 402.47

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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.