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Finding the Third Proportional to 521.44 and 1,128.94

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Solution

The third proportional to 521.44 and 1,128.94 is: 2,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 1,128.94 = 1,128.94 : x
  2. Step 2: Convert to fraction form
    521.44/1,128.94 = 1,128.94/x
  3. Step 3: Cross multiply
    521.44x = 1,128.94 × 1,128.94
  4. Step 4: Simplify right side
    521.44x = 1,274,499.88
  5. Step 5: Solve for x
    x = 1,274,499.88/521.44
  6. Step 6: Final answer
    x = 2,444.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.