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Finding the Third Proportional to 10,194.75 and 14,546.25

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Solution

The third proportional to 10,194.75 and 14,546.25 is: 20,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.75 : 14,546.25 = 14,546.25 : x
  2. Step 2: Convert to fraction form
    10,194.75/14,546.25 = 14,546.25/x
  3. Step 3: Cross multiply
    10,194.75x = 14,546.25 × 14,546.25
  4. Step 4: Simplify right side
    10,194.75x = 211,593,389.06
  5. Step 5: Solve for x
    x = 211,593,389.06/10,194.75
  6. Step 6: Final answer
    x = 20,755.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.