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Finding the Third Proportional to 179.93 and 393.98

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Solution

The third proportional to 179.93 and 393.98 is: 862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 393.98 = 393.98 : x
  2. Step 2: Convert to fraction form
    179.93/393.98 = 393.98/x
  3. Step 3: Cross multiply
    179.93x = 393.98 × 393.98
  4. Step 4: Simplify right side
    179.93x = 155,223.69
  5. Step 5: Solve for x
    x = 155,223.69/179.93
  6. Step 6: Final answer
    x = 862.69

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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.