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Finding the Third Proportional to 4,419.56 and 9,431.44

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Solution

The third proportional to 4,419.56 and 9,431.44 is: 20,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.56 : 9,431.44 = 9,431.44 : x
  2. Step 2: Convert to fraction form
    4,419.56/9,431.44 = 9,431.44/x
  3. Step 3: Cross multiply
    4,419.56x = 9,431.44 × 9,431.44
  4. Step 4: Simplify right side
    4,419.56x = 88,952,013.32
  5. Step 5: Solve for x
    x = 88,952,013.32/4,419.56
  6. Step 6: Final answer
    x = 20,126.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.