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Finding the Third Proportional to 61,181 and 129,705

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Solution

The third proportional to 61,181 and 129,705 is: 274,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,181 : 129,705 = 129,705 : x
  2. Step 2: Convert to fraction form
    61,181/129,705 = 129,705/x
  3. Step 3: Cross multiply
    61,181x = 129,705 × 129,705
  4. Step 4: Simplify right side
    61,181x = 16,823,387,025
  5. Step 5: Solve for x
    x = 16,823,387,025/61,181
  6. Step 6: Final answer
    x = 274,977.31

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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.