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Finding the Third Proportional to 55,781 and 122,583

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Solution

The third proportional to 55,781 and 122,583 is: 269,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,781 : 122,583 = 122,583 : x
  2. Step 2: Convert to fraction form
    55,781/122,583 = 122,583/x
  3. Step 3: Cross multiply
    55,781x = 122,583 × 122,583
  4. Step 4: Simplify right side
    55,781x = 15,026,591,889
  5. Step 5: Solve for x
    x = 15,026,591,889/55,781
  6. Step 6: Final answer
    x = 269,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.