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Finding the Third Proportional to 117,616 and 256,380

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Solution

The third proportional to 117,616 and 256,380 is: 558,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,616 : 256,380 = 256,380 : x
  2. Step 2: Convert to fraction form
    117,616/256,380 = 256,380/x
  3. Step 3: Cross multiply
    117,616x = 256,380 × 256,380
  4. Step 4: Simplify right side
    117,616x = 65,730,704,400
  5. Step 5: Solve for x
    x = 65,730,704,400/117,616
  6. Step 6: Final answer
    x = 558,858.53

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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.