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Finding the Third Proportional to 55,533 and 120,918

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Solution

The third proportional to 55,533 and 120,918 is: 263,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,533 : 120,918 = 120,918 : x
  2. Step 2: Convert to fraction form
    55,533/120,918 = 120,918/x
  3. Step 3: Cross multiply
    55,533x = 120,918 × 120,918
  4. Step 4: Simplify right side
    55,533x = 14,621,162,724
  5. Step 5: Solve for x
    x = 14,621,162,724/55,533
  6. Step 6: Final answer
    x = 263,287.82

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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.