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Finding the Third Proportional to 54,029 and 117,805

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Solution

The third proportional to 54,029 and 117,805 is: 256,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029 : 117,805 = 117,805 : x
  2. Step 2: Convert to fraction form
    54,029/117,805 = 117,805/x
  3. Step 3: Cross multiply
    54,029x = 117,805 × 117,805
  4. Step 4: Simplify right side
    54,029x = 13,878,018,025
  5. Step 5: Solve for x
    x = 13,878,018,025/54,029
  6. Step 6: Final answer
    x = 256,862.39

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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.