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Finding the Third Proportional to 9,600.25 and 14,325.75

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Solution

The third proportional to 9,600.25 and 14,325.75 is: 21,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.25 : 14,325.75 = 14,325.75 : x
  2. Step 2: Convert to fraction form
    9,600.25/14,325.75 = 14,325.75/x
  3. Step 3: Cross multiply
    9,600.25x = 14,325.75 × 14,325.75
  4. Step 4: Simplify right side
    9,600.25x = 205,227,113.06
  5. Step 5: Solve for x
    x = 205,227,113.06/9,600.25
  6. Step 6: Final answer
    x = 21,377.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.