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Finding the Third Proportional to 211.97 and 510.94

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Solution

The third proportional to 211.97 and 510.94 is: 1,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 510.94 = 510.94 : x
  2. Step 2: Convert to fraction form
    211.97/510.94 = 510.94/x
  3. Step 3: Cross multiply
    211.97x = 510.94 × 510.94
  4. Step 4: Simplify right side
    211.97x = 261,057.13
  5. Step 5: Solve for x
    x = 261,057.13/211.97
  6. Step 6: Final answer
    x = 1,231.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.