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Finding the Third Proportional to 156,006 and 256,257

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Solution

The third proportional to 156,006 and 256,257 is: 420,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 256,257 = 256,257 : x
  2. Step 2: Convert to fraction form
    156,006/256,257 = 256,257/x
  3. Step 3: Cross multiply
    156,006x = 256,257 × 256,257
  4. Step 4: Simplify right side
    156,006x = 65,667,650,049
  5. Step 5: Solve for x
    x = 65,667,650,049/156,006
  6. Step 6: Final answer
    x = 420,930.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.