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Finding the Third Proportional to 57,641 and 122,221

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Solution

The third proportional to 57,641 and 122,221 is: 259,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641 : 122,221 = 122,221 : x
  2. Step 2: Convert to fraction form
    57,641/122,221 = 122,221/x
  3. Step 3: Cross multiply
    57,641x = 122,221 × 122,221
  4. Step 4: Simplify right side
    57,641x = 14,937,972,841
  5. Step 5: Solve for x
    x = 14,937,972,841/57,641
  6. Step 6: Final answer
    x = 259,155.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.