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Finding the Third Proportional to 99.13 and 213.63

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Solution

The third proportional to 99.13 and 213.63 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.13 : 213.63 = 213.63 : x
  2. Step 2: Convert to fraction form
    99.13/213.63 = 213.63/x
  3. Step 3: Cross multiply
    99.13x = 213.63 × 213.63
  4. Step 4: Simplify right side
    99.13x = 45,635.64
  5. Step 5: Solve for x
    x = 45,635.64/99.13
  6. Step 6: Final answer
    x = 460.38

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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.