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Finding the Third Proportional to 118,786 and 256,138

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Solution

The third proportional to 118,786 and 256,138 is: 552,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,786 : 256,138 = 256,138 : x
  2. Step 2: Convert to fraction form
    118,786/256,138 = 256,138/x
  3. Step 3: Cross multiply
    118,786x = 256,138 × 256,138
  4. Step 4: Simplify right side
    118,786x = 65,606,675,044
  5. Step 5: Solve for x
    x = 65,606,675,044/118,786
  6. Step 6: Final answer
    x = 552,309.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.