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Finding the Third Proportional to 4,423.78 and 9,539.44

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Solution

The third proportional to 4,423.78 and 9,539.44 is: 20,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,423.78 : 9,539.44 = 9,539.44 : x
  2. Step 2: Convert to fraction form
    4,423.78/9,539.44 = 9,539.44/x
  3. Step 3: Cross multiply
    4,423.78x = 9,539.44 × 9,539.44
  4. Step 4: Simplify right side
    4,423.78x = 91,000,867.82
  5. Step 5: Solve for x
    x = 91,000,867.82/4,423.78
  6. Step 6: Final answer
    x = 20,570.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.