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Finding the Third Proportional to 4,518.28 and 9,805.43

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Solution

The third proportional to 4,518.28 and 9,805.43 is: 21,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518.28 : 9,805.43 = 9,805.43 : x
  2. Step 2: Convert to fraction form
    4,518.28/9,805.43 = 9,805.43/x
  3. Step 3: Cross multiply
    4,518.28x = 9,805.43 × 9,805.43
  4. Step 4: Simplify right side
    4,518.28x = 96,146,451.36
  5. Step 5: Solve for x
    x = 96,146,451.36/4,518.28
  6. Step 6: Final answer
    x = 21,279.43

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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.