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Finding the Third Proportional to 121,194 and 257,940

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Solution

The third proportional to 121,194 and 257,940 is: 548,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,194 : 257,940 = 257,940 : x
  2. Step 2: Convert to fraction form
    121,194/257,940 = 257,940/x
  3. Step 3: Cross multiply
    121,194x = 257,940 × 257,940
  4. Step 4: Simplify right side
    121,194x = 66,533,043,600
  5. Step 5: Solve for x
    x = 66,533,043,600/121,194
  6. Step 6: Final answer
    x = 548,979.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.