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Finding the Third Proportional to 55,861 and 120,469

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Solution

The third proportional to 55,861 and 120,469 is: 259,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861 : 120,469 = 120,469 : x
  2. Step 2: Convert to fraction form
    55,861/120,469 = 120,469/x
  3. Step 3: Cross multiply
    55,861x = 120,469 × 120,469
  4. Step 4: Simplify right side
    55,861x = 14,512,779,961
  5. Step 5: Solve for x
    x = 14,512,779,961/55,861
  6. Step 6: Final answer
    x = 259,801.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.