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Finding the Third Proportional to 121,469 and 256,141

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Solution

The third proportional to 121,469 and 256,141 is: 540,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,469 : 256,141 = 256,141 : x
  2. Step 2: Convert to fraction form
    121,469/256,141 = 256,141/x
  3. Step 3: Cross multiply
    121,469x = 256,141 × 256,141
  4. Step 4: Simplify right side
    121,469x = 65,608,211,881
  5. Step 5: Solve for x
    x = 65,608,211,881/121,469
  6. Step 6: Final answer
    x = 540,123.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.