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Finding the Third Proportional to 55,831 and 121,700

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Solution

The third proportional to 55,831 and 121,700 is: 265,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,831 : 121,700 = 121,700 : x
  2. Step 2: Convert to fraction form
    55,831/121,700 = 121,700/x
  3. Step 3: Cross multiply
    55,831x = 121,700 × 121,700
  4. Step 4: Simplify right side
    55,831x = 14,810,890,000
  5. Step 5: Solve for x
    x = 14,810,890,000/55,831
  6. Step 6: Final answer
    x = 265,280.76

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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.