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Finding the Third Proportional to 61,686 and 134,505

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Solution

The third proportional to 61,686 and 134,505 is: 293,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686 : 134,505 = 134,505 : x
  2. Step 2: Convert to fraction form
    61,686/134,505 = 134,505/x
  3. Step 3: Cross multiply
    61,686x = 134,505 × 134,505
  4. Step 4: Simplify right side
    61,686x = 18,091,595,025
  5. Step 5: Solve for x
    x = 18,091,595,025/61,686
  6. Step 6: Final answer
    x = 293,285.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.