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Finding the Third Proportional to 84.19 and 176.81

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Solution

The third proportional to 84.19 and 176.81 is: 371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.19 : 176.81 = 176.81 : x
  2. Step 2: Convert to fraction form
    84.19/176.81 = 176.81/x
  3. Step 3: Cross multiply
    84.19x = 176.81 × 176.81
  4. Step 4: Simplify right side
    84.19x = 31,262.66
  5. Step 5: Solve for x
    x = 31,262.66/84.19
  6. Step 6: Final answer
    x = 371.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.