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Finding the Third Proportional to 54,819 and 117,412

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Solution

The third proportional to 54,819 and 117,412 is: 251,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819 : 117,412 = 117,412 : x
  2. Step 2: Convert to fraction form
    54,819/117,412 = 117,412/x
  3. Step 3: Cross multiply
    54,819x = 117,412 × 117,412
  4. Step 4: Simplify right side
    54,819x = 13,785,577,744
  5. Step 5: Solve for x
    x = 13,785,577,744/54,819
  6. Step 6: Final answer
    x = 251,474.45

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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.