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Finding the Third Proportional to 176.19 and 280.47

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Solution

The third proportional to 176.19 and 280.47 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 280.47 = 280.47 : x
  2. Step 2: Convert to fraction form
    176.19/280.47 = 280.47/x
  3. Step 3: Cross multiply
    176.19x = 280.47 × 280.47
  4. Step 4: Simplify right side
    176.19x = 78,662.72
  5. Step 5: Solve for x
    x = 78,662.72/176.19
  6. Step 6: Final answer
    x = 446.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.