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Finding the Third Proportional to 91,768.50 and 120,939.75

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Solution

The third proportional to 91,768.50 and 120,939.75 is: 159,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,768.50 : 120,939.75 = 120,939.75 : x
  2. Step 2: Convert to fraction form
    91,768.50/120,939.75 = 120,939.75/x
  3. Step 3: Cross multiply
    91,768.50x = 120,939.75 × 120,939.75
  4. Step 4: Simplify right side
    91,768.50x = 14,626,423,130.06
  5. Step 5: Solve for x
    x = 14,626,423,130.06/91,768.50
  6. Step 6: Final answer
    x = 159,383.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.