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Finding the Third Proportional to 117,982 and 256,698

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Solution

The third proportional to 117,982 and 256,698 is: 558,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,982 : 256,698 = 256,698 : x
  2. Step 2: Convert to fraction form
    117,982/256,698 = 256,698/x
  3. Step 3: Cross multiply
    117,982x = 256,698 × 256,698
  4. Step 4: Simplify right side
    117,982x = 65,893,863,204
  5. Step 5: Solve for x
    x = 65,893,863,204/117,982
  6. Step 6: Final answer
    x = 558,507.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.