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Finding the Third Proportional to 154,827 and 256,241

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Solution

The third proportional to 154,827 and 256,241 is: 424,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,827 : 256,241 = 256,241 : x
  2. Step 2: Convert to fraction form
    154,827/256,241 = 256,241/x
  3. Step 3: Cross multiply
    154,827x = 256,241 × 256,241
  4. Step 4: Simplify right side
    154,827x = 65,659,450,081
  5. Step 5: Solve for x
    x = 65,659,450,081/154,827
  6. Step 6: Final answer
    x = 424,082.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.