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Finding the Third Proportional to 214.03 and 330.05

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Solution

The third proportional to 214.03 and 330.05 is: 508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 330.05 = 330.05 : x
  2. Step 2: Convert to fraction form
    214.03/330.05 = 330.05/x
  3. Step 3: Cross multiply
    214.03x = 330.05 × 330.05
  4. Step 4: Simplify right side
    214.03x = 108,930.94
  5. Step 5: Solve for x
    x = 108,930.94/214.03
  6. Step 6: Final answer
    x = 508.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.