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Finding the Third Proportional to 55,978 and 121,690

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Solution

The third proportional to 55,978 and 121,690 is: 264,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978 : 121,690 = 121,690 : x
  2. Step 2: Convert to fraction form
    55,978/121,690 = 121,690/x
  3. Step 3: Cross multiply
    55,978x = 121,690 × 121,690
  4. Step 4: Simplify right side
    55,978x = 14,808,456,100
  5. Step 5: Solve for x
    x = 14,808,456,100/55,978
  6. Step 6: Final answer
    x = 264,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.