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Finding the Third Proportional to 176.72 and 348.94

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Solution

The third proportional to 176.72 and 348.94 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.72 : 348.94 = 348.94 : x
  2. Step 2: Convert to fraction form
    176.72/348.94 = 348.94/x
  3. Step 3: Cross multiply
    176.72x = 348.94 × 348.94
  4. Step 4: Simplify right side
    176.72x = 121,757.38
  5. Step 5: Solve for x
    x = 121,757.38/176.72
  6. Step 6: Final answer
    x = 688.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.