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Finding the Third Proportional to 55,403 and 120,961

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Solution

The third proportional to 55,403 and 120,961 is: 264,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,403 : 120,961 = 120,961 : x
  2. Step 2: Convert to fraction form
    55,403/120,961 = 120,961/x
  3. Step 3: Cross multiply
    55,403x = 120,961 × 120,961
  4. Step 4: Simplify right side
    55,403x = 14,631,563,521
  5. Step 5: Solve for x
    x = 14,631,563,521/55,403
  6. Step 6: Final answer
    x = 264,093.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.