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Finding the Third Proportional to 117,962 and 256,660

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Solution

The third proportional to 117,962 and 256,660 is: 558,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,962 : 256,660 = 256,660 : x
  2. Step 2: Convert to fraction form
    117,962/256,660 = 256,660/x
  3. Step 3: Cross multiply
    117,962x = 256,660 × 256,660
  4. Step 4: Simplify right side
    117,962x = 65,874,355,600
  5. Step 5: Solve for x
    x = 65,874,355,600/117,962
  6. Step 6: Final answer
    x = 558,437.09

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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.