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Finding the Third Proportional to 96,768.42 and 133,716.45

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Solution

The third proportional to 96,768.42 and 133,716.45 is: 184,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768.42 : 133,716.45 = 133,716.45 : x
  2. Step 2: Convert to fraction form
    96,768.42/133,716.45 = 133,716.45/x
  3. Step 3: Cross multiply
    96,768.42x = 133,716.45 × 133,716.45
  4. Step 4: Simplify right side
    96,768.42x = 17,880,087,747.01
  5. Step 5: Solve for x
    x = 17,880,087,747.01/96,768.42
  6. Step 6: Final answer
    x = 184,771.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.