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Finding the Third Proportional to 61,686 and 132,724

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Solution

The third proportional to 61,686 and 132,724 is: 285,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686 : 132,724 = 132,724 : x
  2. Step 2: Convert to fraction form
    61,686/132,724 = 132,724/x
  3. Step 3: Cross multiply
    61,686x = 132,724 × 132,724
  4. Step 4: Simplify right side
    61,686x = 17,615,660,176
  5. Step 5: Solve for x
    x = 17,615,660,176/61,686
  6. Step 6: Final answer
    x = 285,569.82

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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.