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Finding the Third Proportional to 182.20 and 210.05

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Solution

The third proportional to 182.20 and 210.05 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.20 : 210.05 = 210.05 : x
  2. Step 2: Convert to fraction form
    182.20/210.05 = 210.05/x
  3. Step 3: Cross multiply
    182.20x = 210.05 × 210.05
  4. Step 4: Simplify right side
    182.20x = 44,119.69
  5. Step 5: Solve for x
    x = 44,119.69/182.20
  6. Step 6: Final answer
    x = 242.15

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.