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Finding the Third Proportional to 117,978 and 256,689

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Solution

The third proportional to 117,978 and 256,689 is: 558,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978 : 256,689 = 256,689 : x
  2. Step 2: Convert to fraction form
    117,978/256,689 = 256,689/x
  3. Step 3: Cross multiply
    117,978x = 256,689 × 256,689
  4. Step 4: Simplify right side
    117,978x = 65,889,242,721
  5. Step 5: Solve for x
    x = 65,889,242,721/117,978
  6. Step 6: Final answer
    x = 558,487.54

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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.