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Finding the Third Proportional to 54,815 and 117,406

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Solution

The third proportional to 54,815 and 117,406 is: 251,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815 : 117,406 = 117,406 : x
  2. Step 2: Convert to fraction form
    54,815/117,406 = 117,406/x
  3. Step 3: Cross multiply
    54,815x = 117,406 × 117,406
  4. Step 4: Simplify right side
    54,815x = 13,784,168,836
  5. Step 5: Solve for x
    x = 13,784,168,836/54,815
  6. Step 6: Final answer
    x = 251,467.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.