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Finding the Third Proportional to 120.63 and 176.38

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Solution

The third proportional to 120.63 and 176.38 is: 257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.63 : 176.38 = 176.38 : x
  2. Step 2: Convert to fraction form
    120.63/176.38 = 176.38/x
  3. Step 3: Cross multiply
    120.63x = 176.38 × 176.38
  4. Step 4: Simplify right side
    120.63x = 31,108.14
  5. Step 5: Solve for x
    x = 31,108.14/120.63
  6. Step 6: Final answer
    x = 257.89

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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.