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Finding the Third Proportional to 123.05 and 192.05

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Solution

The third proportional to 123.05 and 192.05 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 192.05 = 192.05 : x
  2. Step 2: Convert to fraction form
    123.05/192.05 = 192.05/x
  3. Step 3: Cross multiply
    123.05x = 192.05 × 192.05
  4. Step 4: Simplify right side
    123.05x = 36,882.00
  5. Step 5: Solve for x
    x = 36,882.00/123.05
  6. Step 6: Final answer
    x = 299.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.