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Finding the Third Proportional to 214.59 and 303.84

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Solution

The third proportional to 214.59 and 303.84 is: 430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.59 : 303.84 = 303.84 : x
  2. Step 2: Convert to fraction form
    214.59/303.84 = 303.84/x
  3. Step 3: Cross multiply
    214.59x = 303.84 × 303.84
  4. Step 4: Simplify right side
    214.59x = 92,321.02
  5. Step 5: Solve for x
    x = 92,321.02/214.59
  6. Step 6: Final answer
    x = 430.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.