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Finding the Third Proportional to 212.84 and 459.63

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Solution

The third proportional to 212.84 and 459.63 is: 992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 459.63 = 459.63 : x
  2. Step 2: Convert to fraction form
    212.84/459.63 = 459.63/x
  3. Step 3: Cross multiply
    212.84x = 459.63 × 459.63
  4. Step 4: Simplify right side
    212.84x = 211,262.32
  5. Step 5: Solve for x
    x = 211,262.32/212.84
  6. Step 6: Final answer
    x = 992.61

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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.