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Finding the Third Proportional to 56,195 and 120,387

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Solution

The third proportional to 56,195 and 120,387 is: 257,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,195 : 120,387 = 120,387 : x
  2. Step 2: Convert to fraction form
    56,195/120,387 = 120,387/x
  3. Step 3: Cross multiply
    56,195x = 120,387 × 120,387
  4. Step 4: Simplify right side
    56,195x = 14,493,029,769
  5. Step 5: Solve for x
    x = 14,493,029,769/56,195
  6. Step 6: Final answer
    x = 257,906.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.