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Finding the Third Proportional to 4,278.52 and 9,193.64

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Solution

The third proportional to 4,278.52 and 9,193.64 is: 19,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.52 : 9,193.64 = 9,193.64 : x
  2. Step 2: Convert to fraction form
    4,278.52/9,193.64 = 9,193.64/x
  3. Step 3: Cross multiply
    4,278.52x = 9,193.64 × 9,193.64
  4. Step 4: Simplify right side
    4,278.52x = 84,523,027.94
  5. Step 5: Solve for x
    x = 84,523,027.94/4,278.52
  6. Step 6: Final answer
    x = 19,755.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.