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Finding the Third Proportional to 54,786 and 117,894

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Solution

The third proportional to 54,786 and 117,894 is: 253,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786 : 117,894 = 117,894 : x
  2. Step 2: Convert to fraction form
    54,786/117,894 = 117,894/x
  3. Step 3: Cross multiply
    54,786x = 117,894 × 117,894
  4. Step 4: Simplify right side
    54,786x = 13,898,995,236
  5. Step 5: Solve for x
    x = 13,898,995,236/54,786
  6. Step 6: Final answer
    x = 253,696.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.