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Finding the Third Proportional to 128.25 and 176.44

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Solution

The third proportional to 128.25 and 176.44 is: 242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.25 : 176.44 = 176.44 : x
  2. Step 2: Convert to fraction form
    128.25/176.44 = 176.44/x
  3. Step 3: Cross multiply
    128.25x = 176.44 × 176.44
  4. Step 4: Simplify right side
    128.25x = 31,130.19
  5. Step 5: Solve for x
    x = 31,130.19/128.25
  6. Step 6: Final answer
    x = 242.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.