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Finding the Third Proportional to 54,419 and 84,087

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Solution

The third proportional to 54,419 and 84,087 is: 129,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419 : 84,087 = 84,087 : x
  2. Step 2: Convert to fraction form
    54,419/84,087 = 84,087/x
  3. Step 3: Cross multiply
    54,419x = 84,087 × 84,087
  4. Step 4: Simplify right side
    54,419x = 7,070,623,569
  5. Step 5: Solve for x
    x = 7,070,623,569/54,419
  6. Step 6: Final answer
    x = 129,929.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.