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Finding the Third Proportional to 117,328 and 255,836

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Solution

The third proportional to 117,328 and 255,836 is: 557,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,328 : 255,836 = 255,836 : x
  2. Step 2: Convert to fraction form
    117,328/255,836 = 255,836/x
  3. Step 3: Cross multiply
    117,328x = 255,836 × 255,836
  4. Step 4: Simplify right side
    117,328x = 65,452,058,896
  5. Step 5: Solve for x
    x = 65,452,058,896/117,328
  6. Step 6: Final answer
    x = 557,855.40

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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.