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Finding the Third Proportional to 55,355 and 117,961

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Solution

The third proportional to 55,355 and 117,961 is: 251,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,355 : 117,961 = 117,961 : x
  2. Step 2: Convert to fraction form
    55,355/117,961 = 117,961/x
  3. Step 3: Cross multiply
    55,355x = 117,961 × 117,961
  4. Step 4: Simplify right side
    55,355x = 13,914,797,521
  5. Step 5: Solve for x
    x = 13,914,797,521/55,355
  6. Step 6: Final answer
    x = 251,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.