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Finding the Third Proportional to 171,789 and 256,893

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Solution

The third proportional to 171,789 and 256,893 is: 384,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,789 : 256,893 = 256,893 : x
  2. Step 2: Convert to fraction form
    171,789/256,893 = 256,893/x
  3. Step 3: Cross multiply
    171,789x = 256,893 × 256,893
  4. Step 4: Simplify right side
    171,789x = 65,994,013,449
  5. Step 5: Solve for x
    x = 65,994,013,449/171,789
  6. Step 6: Final answer
    x = 384,157.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.