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Finding the Third Proportional to 121,195.50 and 257,943

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Solution

The third proportional to 121,195.50 and 257,943 is: 548,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,195.50 : 257,943 = 257,943 : x
  2. Step 2: Convert to fraction form
    121,195.50/257,943 = 257,943/x
  3. Step 3: Cross multiply
    121,195.50x = 257,943 × 257,943
  4. Step 4: Simplify right side
    121,195.50x = 66,534,591,249
  5. Step 5: Solve for x
    x = 66,534,591,249/121,195.50
  6. Step 6: Final answer
    x = 548,985.66

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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.