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Finding the Third Proportional to 54,879 and 129,417

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Solution

The third proportional to 54,879 and 129,417 is: 305,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,879 : 129,417 = 129,417 : x
  2. Step 2: Convert to fraction form
    54,879/129,417 = 129,417/x
  3. Step 3: Cross multiply
    54,879x = 129,417 × 129,417
  4. Step 4: Simplify right side
    54,879x = 16,748,759,889
  5. Step 5: Solve for x
    x = 16,748,759,889/54,879
  6. Step 6: Final answer
    x = 305,194.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.