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Finding the Third Proportional to 428.44 and 521.63

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Solution

The third proportional to 428.44 and 521.63 is: 635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.44 : 521.63 = 521.63 : x
  2. Step 2: Convert to fraction form
    428.44/521.63 = 521.63/x
  3. Step 3: Cross multiply
    428.44x = 521.63 × 521.63
  4. Step 4: Simplify right side
    428.44x = 272,092.64
  5. Step 5: Solve for x
    x = 272,092.64/428.44
  6. Step 6: Final answer
    x = 635.08

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.