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Finding the Third Proportional to 121,198 and 260,387

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Solution

The third proportional to 121,198 and 260,387 is: 559,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,198 : 260,387 = 260,387 : x
  2. Step 2: Convert to fraction form
    121,198/260,387 = 260,387/x
  3. Step 3: Cross multiply
    121,198x = 260,387 × 260,387
  4. Step 4: Simplify right side
    121,198x = 67,801,389,769
  5. Step 5: Solve for x
    x = 67,801,389,769/121,198
  6. Step 6: Final answer
    x = 559,426.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.