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Finding the Third Proportional to 120,218 and 261,172

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Solution

The third proportional to 120,218 and 261,172 is: 567,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,218 : 261,172 = 261,172 : x
  2. Step 2: Convert to fraction form
    120,218/261,172 = 261,172/x
  3. Step 3: Cross multiply
    120,218x = 261,172 × 261,172
  4. Step 4: Simplify right side
    120,218x = 68,210,813,584
  5. Step 5: Solve for x
    x = 68,210,813,584/120,218
  6. Step 6: Final answer
    x = 567,392.68

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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.