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Finding the Third Proportional to 54,378 and 120,420

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Solution

The third proportional to 54,378 and 120,420 is: 266,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,378 : 120,420 = 120,420 : x
  2. Step 2: Convert to fraction form
    54,378/120,420 = 120,420/x
  3. Step 3: Cross multiply
    54,378x = 120,420 × 120,420
  4. Step 4: Simplify right side
    54,378x = 14,500,976,400
  5. Step 5: Solve for x
    x = 14,500,976,400/54,378
  6. Step 6: Final answer
    x = 266,669.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.