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Finding the Third Proportional to 54,377 and 120,419

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Solution

The third proportional to 54,377 and 120,419 is: 266,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,377 : 120,419 = 120,419 : x
  2. Step 2: Convert to fraction form
    54,377/120,419 = 120,419/x
  3. Step 3: Cross multiply
    54,377x = 120,419 × 120,419
  4. Step 4: Simplify right side
    54,377x = 14,500,735,561
  5. Step 5: Solve for x
    x = 14,500,735,561/54,377
  6. Step 6: Final answer
    x = 266,670.39

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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.