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Finding the Third Proportional to 61,081 and 131,395

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Solution

The third proportional to 61,081 and 131,395 is: 282,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,081 : 131,395 = 131,395 : x
  2. Step 2: Convert to fraction form
    61,081/131,395 = 131,395/x
  3. Step 3: Cross multiply
    61,081x = 131,395 × 131,395
  4. Step 4: Simplify right side
    61,081x = 17,264,646,025
  5. Step 5: Solve for x
    x = 17,264,646,025/61,081
  6. Step 6: Final answer
    x = 282,651.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.