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Finding the Third Proportional to 211.13 and 477.19

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Solution

The third proportional to 211.13 and 477.19 is: 1,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 477.19 = 477.19 : x
  2. Step 2: Convert to fraction form
    211.13/477.19 = 477.19/x
  3. Step 3: Cross multiply
    211.13x = 477.19 × 477.19
  4. Step 4: Simplify right side
    211.13x = 227,707.91
  5. Step 5: Solve for x
    x = 227,707.91/211.13
  6. Step 6: Final answer
    x = 1,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.