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Finding the Third Proportional to 121,039 and 256,471

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Solution

The third proportional to 121,039 and 256,471 is: 543,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,039 : 256,471 = 256,471 : x
  2. Step 2: Convert to fraction form
    121,039/256,471 = 256,471/x
  3. Step 3: Cross multiply
    121,039x = 256,471 × 256,471
  4. Step 4: Simplify right side
    121,039x = 65,777,373,841
  5. Step 5: Solve for x
    x = 65,777,373,841/121,039
  6. Step 6: Final answer
    x = 543,439.50

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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.