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Finding the Third Proportional to 214.38 and 459.88

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Solution

The third proportional to 214.38 and 459.88 is: 986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 459.88 = 459.88 : x
  2. Step 2: Convert to fraction form
    214.38/459.88 = 459.88/x
  3. Step 3: Cross multiply
    214.38x = 459.88 × 459.88
  4. Step 4: Simplify right side
    214.38x = 211,485.02
  5. Step 5: Solve for x
    x = 211,485.02/214.38
  6. Step 6: Final answer
    x = 986.52

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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.