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Finding the Third Proportional to 98.63 and 213.63

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Solution

The third proportional to 98.63 and 213.63 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 213.63 = 213.63 : x
  2. Step 2: Convert to fraction form
    98.63/213.63 = 213.63/x
  3. Step 3: Cross multiply
    98.63x = 213.63 × 213.63
  4. Step 4: Simplify right side
    98.63x = 45,635.64
  5. Step 5: Solve for x
    x = 45,635.64/98.63
  6. Step 6: Final answer
    x = 462.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.