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Finding the Third Proportional to 214.84 and 402.44

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Solution

The third proportional to 214.84 and 402.44 is: 753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 402.44 = 402.44 : x
  2. Step 2: Convert to fraction form
    214.84/402.44 = 402.44/x
  3. Step 3: Cross multiply
    214.84x = 402.44 × 402.44
  4. Step 4: Simplify right side
    214.84x = 161,955.94
  5. Step 5: Solve for x
    x = 161,955.94/214.84
  6. Step 6: Final answer
    x = 753.83

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.