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Finding the Third Proportional to 122.88 and 192.69

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Solution

The third proportional to 122.88 and 192.69 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 192.69 = 192.69 : x
  2. Step 2: Convert to fraction form
    122.88/192.69 = 192.69/x
  3. Step 3: Cross multiply
    122.88x = 192.69 × 192.69
  4. Step 4: Simplify right side
    122.88x = 37,128.47
  5. Step 5: Solve for x
    x = 37,128.47/122.88
  6. Step 6: Final answer
    x = 302.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.