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Finding the Third Proportional to 176.13 and 344.67

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Solution

The third proportional to 176.13 and 344.67 is: 674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 344.67 = 344.67 : x
  2. Step 2: Convert to fraction form
    176.13/344.67 = 344.67/x
  3. Step 3: Cross multiply
    176.13x = 344.67 × 344.67
  4. Step 4: Simplify right side
    176.13x = 118,798.70
  5. Step 5: Solve for x
    x = 118,798.70/176.13
  6. Step 6: Final answer
    x = 674.48

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.