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Finding the Third Proportional to 9,825.36 and 21,207.45

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Solution

The third proportional to 9,825.36 and 21,207.45 is: 45,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.36 : 21,207.45 = 21,207.45 : x
  2. Step 2: Convert to fraction form
    9,825.36/21,207.45 = 21,207.45/x
  3. Step 3: Cross multiply
    9,825.36x = 21,207.45 × 21,207.45
  4. Step 4: Simplify right side
    9,825.36x = 449,755,736.68
  5. Step 5: Solve for x
    x = 449,755,736.68/9,825.36
  6. Step 6: Final answer
    x = 45,774.97

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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.