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Finding the Third Proportional to 55,206 and 120,438

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Solution

The third proportional to 55,206 and 120,438 is: 262,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 120,438 = 120,438 : x
  2. Step 2: Convert to fraction form
    55,206/120,438 = 120,438/x
  3. Step 3: Cross multiply
    55,206x = 120,438 × 120,438
  4. Step 4: Simplify right side
    55,206x = 14,505,311,844
  5. Step 5: Solve for x
    x = 14,505,311,844/55,206
  6. Step 6: Final answer
    x = 262,748.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.