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Finding the Third Proportional to 120,692 and 191,385

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Solution

The third proportional to 120,692 and 191,385 is: 303,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692 : 191,385 = 191,385 : x
  2. Step 2: Convert to fraction form
    120,692/191,385 = 191,385/x
  3. Step 3: Cross multiply
    120,692x = 191,385 × 191,385
  4. Step 4: Simplify right side
    120,692x = 36,628,218,225
  5. Step 5: Solve for x
    x = 36,628,218,225/120,692
  6. Step 6: Final answer
    x = 303,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.