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Finding the Third Proportional to 9,600.75 and 22,240.13

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Solution

The third proportional to 9,600.75 and 22,240.13 is: 51,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 22,240.13 = 22,240.13 : x
  2. Step 2: Convert to fraction form
    9,600.75/22,240.13 = 22,240.13/x
  3. Step 3: Cross multiply
    9,600.75x = 22,240.13 × 22,240.13
  4. Step 4: Simplify right side
    9,600.75x = 494,623,160.02
  5. Step 5: Solve for x
    x = 494,623,160.02/9,600.75
  6. Step 6: Final answer
    x = 51,519.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.