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Finding the Third Proportional to 214.52 and 291.41

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Solution

The third proportional to 214.52 and 291.41 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 291.41 = 291.41 : x
  2. Step 2: Convert to fraction form
    214.52/291.41 = 291.41/x
  3. Step 3: Cross multiply
    214.52x = 291.41 × 291.41
  4. Step 4: Simplify right side
    214.52x = 84,919.88
  5. Step 5: Solve for x
    x = 84,919.88/214.52
  6. Step 6: Final answer
    x = 395.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.