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Finding the Third Proportional to 117,721 and 256,458

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Solution

The third proportional to 117,721 and 256,458 is: 558,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,721 : 256,458 = 256,458 : x
  2. Step 2: Convert to fraction form
    117,721/256,458 = 256,458/x
  3. Step 3: Cross multiply
    117,721x = 256,458 × 256,458
  4. Step 4: Simplify right side
    117,721x = 65,770,705,764
  5. Step 5: Solve for x
    x = 65,770,705,764/117,721
  6. Step 6: Final answer
    x = 558,699.86

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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.