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Finding the Third Proportional to 211.92 and 471.09

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Solution

The third proportional to 211.92 and 471.09 is: 1,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 471.09 = 471.09 : x
  2. Step 2: Convert to fraction form
    211.92/471.09 = 471.09/x
  3. Step 3: Cross multiply
    211.92x = 471.09 × 471.09
  4. Step 4: Simplify right side
    211.92x = 221,929.32
  5. Step 5: Solve for x
    x = 221,929.32/211.92
  6. Step 6: Final answer
    x = 1,047.22

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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.