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Finding the Third Proportional to 180.63 and 394.81

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Solution

The third proportional to 180.63 and 394.81 is: 862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 394.81 = 394.81 : x
  2. Step 2: Convert to fraction form
    180.63/394.81 = 394.81/x
  3. Step 3: Cross multiply
    180.63x = 394.81 × 394.81
  4. Step 4: Simplify right side
    180.63x = 155,876.91
  5. Step 5: Solve for x
    x = 155,876.91/180.63
  6. Step 6: Final answer
    x = 862.99

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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.