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Finding the Third Proportional to 81.63 and 176.08

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Solution

The third proportional to 81.63 and 176.08 is: 379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.63 : 176.08 = 176.08 : x
  2. Step 2: Convert to fraction form
    81.63/176.08 = 176.08/x
  3. Step 3: Cross multiply
    81.63x = 176.08 × 176.08
  4. Step 4: Simplify right side
    81.63x = 31,004.19
  5. Step 5: Solve for x
    x = 31,004.19/81.63
  6. Step 6: Final answer
    x = 379.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.