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Finding the Third Proportional to 177.80 and 394.04

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Solution

The third proportional to 177.80 and 394.04 is: 873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.80 : 394.04 = 394.04 : x
  2. Step 2: Convert to fraction form
    177.80/394.04 = 394.04/x
  3. Step 3: Cross multiply
    177.80x = 394.04 × 394.04
  4. Step 4: Simplify right side
    177.80x = 155,271.02
  5. Step 5: Solve for x
    x = 155,271.02/177.80
  6. Step 6: Final answer
    x = 873.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.