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Finding the Third Proportional to 120.63 and 178.69

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Solution

The third proportional to 120.63 and 178.69 is: 264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.63 : 178.69 = 178.69 : x
  2. Step 2: Convert to fraction form
    120.63/178.69 = 178.69/x
  3. Step 3: Cross multiply
    120.63x = 178.69 × 178.69
  4. Step 4: Simplify right side
    120.63x = 31,929.22
  5. Step 5: Solve for x
    x = 31,929.22/120.63
  6. Step 6: Final answer
    x = 264.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.