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Finding the Third Proportional to 85.51 and 122.92

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Solution

The third proportional to 85.51 and 122.92 is: 176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.51 : 122.92 = 122.92 : x
  2. Step 2: Convert to fraction form
    85.51/122.92 = 122.92/x
  3. Step 3: Cross multiply
    85.51x = 122.92 × 122.92
  4. Step 4: Simplify right side
    85.51x = 15,110.08
  5. Step 5: Solve for x
    x = 15,110.08/85.51
  6. Step 6: Final answer
    x = 176.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.