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Finding the Third Proportional to 176.71 and 387.60

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Solution

The third proportional to 176.71 and 387.60 is: 850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 387.60 = 387.60 : x
  2. Step 2: Convert to fraction form
    176.71/387.60 = 387.60/x
  3. Step 3: Cross multiply
    176.71x = 387.60 × 387.60
  4. Step 4: Simplify right side
    176.71x = 150,231.94
  5. Step 5: Solve for x
    x = 150,231.94/176.71
  6. Step 6: Final answer
    x = 850.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.