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Finding the Third Proportional to 54,356 and 84,009

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Solution

The third proportional to 54,356 and 84,009 is: 129,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,356 : 84,009 = 84,009 : x
  2. Step 2: Convert to fraction form
    54,356/84,009 = 84,009/x
  3. Step 3: Cross multiply
    54,356x = 84,009 × 84,009
  4. Step 4: Simplify right side
    54,356x = 7,057,512,081
  5. Step 5: Solve for x
    x = 7,057,512,081/54,356
  6. Step 6: Final answer
    x = 129,838.69

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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.