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Finding the Third Proportional to 213.13 and 458.81

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Solution

The third proportional to 213.13 and 458.81 is: 987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.13 : 458.81 = 458.81 : x
  2. Step 2: Convert to fraction form
    213.13/458.81 = 458.81/x
  3. Step 3: Cross multiply
    213.13x = 458.81 × 458.81
  4. Step 4: Simplify right side
    213.13x = 210,508.91
  5. Step 5: Solve for x
    x = 210,508.91/213.13
  6. Step 6: Final answer
    x = 987.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.