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Finding the Third Proportional to 212.19 and 458.56

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Solution

The third proportional to 212.19 and 458.56 is: 991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.19 : 458.56 = 458.56 : x
  2. Step 2: Convert to fraction form
    212.19/458.56 = 458.56/x
  3. Step 3: Cross multiply
    212.19x = 458.56 × 458.56
  4. Step 4: Simplify right side
    212.19x = 210,279.57
  5. Step 5: Solve for x
    x = 210,279.57/212.19
  6. Step 6: Final answer
    x = 991.01

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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.