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Finding the Third Proportional to 55,579 and 121,961

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Solution

The third proportional to 55,579 and 121,961 is: 267,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,579 : 121,961 = 121,961 : x
  2. Step 2: Convert to fraction form
    55,579/121,961 = 121,961/x
  3. Step 3: Cross multiply
    55,579x = 121,961 × 121,961
  4. Step 4: Simplify right side
    55,579x = 14,874,485,521
  5. Step 5: Solve for x
    x = 14,874,485,521/55,579
  6. Step 6: Final answer
    x = 267,627.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.