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Finding the Third Proportional to 121,171 and 256,918

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Solution

The third proportional to 121,171 and 256,918 is: 544,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,171 : 256,918 = 256,918 : x
  2. Step 2: Convert to fraction form
    121,171/256,918 = 256,918/x
  3. Step 3: Cross multiply
    121,171x = 256,918 × 256,918
  4. Step 4: Simplify right side
    121,171x = 66,006,858,724
  5. Step 5: Solve for x
    x = 66,006,858,724/121,171
  6. Step 6: Final answer
    x = 544,741.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.