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Finding the Third Proportional to 61,832 and 133,546

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Solution

The third proportional to 61,832 and 133,546 is: 288,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,832 : 133,546 = 133,546 : x
  2. Step 2: Convert to fraction form
    61,832/133,546 = 133,546/x
  3. Step 3: Cross multiply
    61,832x = 133,546 × 133,546
  4. Step 4: Simplify right side
    61,832x = 17,834,534,116
  5. Step 5: Solve for x
    x = 17,834,534,116/61,832
  6. Step 6: Final answer
    x = 288,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.