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Finding the Third Proportional to 54,509 and 116,899

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Solution

The third proportional to 54,509 and 116,899 is: 250,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509 : 116,899 = 116,899 : x
  2. Step 2: Convert to fraction form
    54,509/116,899 = 116,899/x
  3. Step 3: Cross multiply
    54,509x = 116,899 × 116,899
  4. Step 4: Simplify right side
    54,509x = 13,665,376,201
  5. Step 5: Solve for x
    x = 13,665,376,201/54,509
  6. Step 6: Final answer
    x = 250,699.45

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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.