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Finding the Third Proportional to 122.34 and 178.03

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Solution

The third proportional to 122.34 and 178.03 is: 259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 178.03 = 178.03 : x
  2. Step 2: Convert to fraction form
    122.34/178.03 = 178.03/x
  3. Step 3: Cross multiply
    122.34x = 178.03 × 178.03
  4. Step 4: Simplify right side
    122.34x = 31,695.13
  5. Step 5: Solve for x
    x = 31,695.13/122.34
  6. Step 6: Final answer
    x = 259.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.