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Finding the Third Proportional to 61,986 and 131,724

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Solution

The third proportional to 61,986 and 131,724 is: 279,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,986 : 131,724 = 131,724 : x
  2. Step 2: Convert to fraction form
    61,986/131,724 = 131,724/x
  3. Step 3: Cross multiply
    61,986x = 131,724 × 131,724
  4. Step 4: Simplify right side
    61,986x = 17,351,212,176
  5. Step 5: Solve for x
    x = 17,351,212,176/61,986
  6. Step 6: Final answer
    x = 279,921.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.