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Finding the Third Proportional to 55,406 and 120,208

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Solution

The third proportional to 55,406 and 120,208 is: 260,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,406 : 120,208 = 120,208 : x
  2. Step 2: Convert to fraction form
    55,406/120,208 = 120,208/x
  3. Step 3: Cross multiply
    55,406x = 120,208 × 120,208
  4. Step 4: Simplify right side
    55,406x = 14,449,963,264
  5. Step 5: Solve for x
    x = 14,449,963,264/55,406
  6. Step 6: Final answer
    x = 260,801.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.