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Finding the Third Proportional to 61,781 and 125,752

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Solution

The third proportional to 61,781 and 125,752 is: 255,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,781 : 125,752 = 125,752 : x
  2. Step 2: Convert to fraction form
    61,781/125,752 = 125,752/x
  3. Step 3: Cross multiply
    61,781x = 125,752 × 125,752
  4. Step 4: Simplify right side
    61,781x = 15,813,565,504
  5. Step 5: Solve for x
    x = 15,813,565,504/61,781
  6. Step 6: Final answer
    x = 255,961.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.