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Finding the Third Proportional to 179.40 and 271.00

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Solution

The third proportional to 179.40 and 271.00 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 271.00 = 271.00 : x
  2. Step 2: Convert to fraction form
    179.40/271.00 = 271.00/x
  3. Step 3: Cross multiply
    179.40x = 271.00 × 271.00
  4. Step 4: Simplify right side
    179.40x = 73,442.06
  5. Step 5: Solve for x
    x = 73,442.06/179.40
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.