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Finding the Third Proportional to 213.89 and 461.18

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Solution

The third proportional to 213.89 and 461.18 is: 994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 461.18 = 461.18 : x
  2. Step 2: Convert to fraction form
    213.89/461.18 = 461.18/x
  3. Step 3: Cross multiply
    213.89x = 461.18 × 461.18
  4. Step 4: Simplify right side
    213.89x = 212,686.70
  5. Step 5: Solve for x
    x = 212,686.70/213.89
  6. Step 6: Final answer
    x = 994.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.