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Finding the Third Proportional to 55,491 and 120,409

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Solution

The third proportional to 55,491 and 120,409 is: 261,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,491 : 120,409 = 120,409 : x
  2. Step 2: Convert to fraction form
    55,491/120,409 = 120,409/x
  3. Step 3: Cross multiply
    55,491x = 120,409 × 120,409
  4. Step 4: Simplify right side
    55,491x = 14,498,327,281
  5. Step 5: Solve for x
    x = 14,498,327,281/55,491
  6. Step 6: Final answer
    x = 261,273.49

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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.