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Finding the Third Proportional to 214.88 and 439.88

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Solution

The third proportional to 214.88 and 439.88 is: 900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 439.88 = 439.88 : x
  2. Step 2: Convert to fraction form
    214.88/439.88 = 439.88/x
  3. Step 3: Cross multiply
    214.88x = 439.88 × 439.88
  4. Step 4: Simplify right side
    214.88x = 193,490.02
  5. Step 5: Solve for x
    x = 193,490.02/214.88
  6. Step 6: Final answer
    x = 900.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.