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Finding the Third Proportional to 211.13 and 380.06

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Solution

The third proportional to 211.13 and 380.06 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 380.06 = 380.06 : x
  2. Step 2: Convert to fraction form
    211.13/380.06 = 380.06/x
  3. Step 3: Cross multiply
    211.13x = 380.06 × 380.06
  4. Step 4: Simplify right side
    211.13x = 144,447.50
  5. Step 5: Solve for x
    x = 144,447.50/211.13
  6. Step 6: Final answer
    x = 684.18

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.