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Finding the Third Proportional to 61,161 and 129,693

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Solution

The third proportional to 61,161 and 129,693 is: 275,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,161 : 129,693 = 129,693 : x
  2. Step 2: Convert to fraction form
    61,161/129,693 = 129,693/x
  3. Step 3: Cross multiply
    61,161x = 129,693 × 129,693
  4. Step 4: Simplify right side
    61,161x = 16,820,274,249
  5. Step 5: Solve for x
    x = 16,820,274,249/61,161
  6. Step 6: Final answer
    x = 275,016.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.