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Finding the Third Proportional to 61,856 and 132,456

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Solution

The third proportional to 61,856 and 132,456 is: 283,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,856 : 132,456 = 132,456 : x
  2. Step 2: Convert to fraction form
    61,856/132,456 = 132,456/x
  3. Step 3: Cross multiply
    61,856x = 132,456 × 132,456
  4. Step 4: Simplify right side
    61,856x = 17,544,591,936
  5. Step 5: Solve for x
    x = 17,544,591,936/61,856
  6. Step 6: Final answer
    x = 283,636.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.